{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ABU量化系统使用文档 \n",
    "\n",
    "<center>\n",
    "        <img src=\"./image/abu_logo.png\" alt=\"\" style=\"vertical-align:middle;padding:10px 20px;\"><font size=\"6\" color=\"black\"><b>第30节 趋势跟踪与均值回复的长短线搭配</b></font>\n",
    "</center>\n",
    "\n",
    "-----------------\n",
    "\n",
    "作者: 阿布\n",
    "\n",
    "阿布量化版权所有 未经允许 禁止转载\n",
    "\n",
    "[abu量化系统github地址](https://github.com/bbfamily/abu) (欢迎+star)\n",
    "\n",
    "[本节ipython notebook](https://github.com/bbfamily/abu/tree/master/abupy_lecture)\n",
    "\n",
    "\n",
    "上一节讲解了多因子策略并行执行配合的示例，本节讲解趋势跟踪与均值回复的长短线搭配的示例。\n",
    "\n",
    "首先导入本节需要使用的abupy中的模块： "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "enable example env will only read RomDataBu/csv\n"
     ]
    }
   ],
   "source": [
    "# 基础库导入\n",
    "\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "warnings.simplefilter('ignore')\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "import os\n",
    "import sys\n",
    "# 使用insert 0即只使用github，避免交叉使用了pip安装的abupy，导致的版本不一致问题\n",
    "sys.path.insert(0, os.path.abspath('../'))\n",
    "import abupy\n",
    "\n",
    "# 使用沙盒数据，目的是和书中一样的数据环境\n",
    "abupy.env.enable_example_env_ipython()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "us_choice_symbols = ['usTSLA', 'usNOAH', 'usSFUN', 'usBIDU', 'usAAPL', 'usGOOG', 'usWUBA', 'usVIPS']\n",
    "cn_choice_symbols = ['002230', '300104', '300059', '601766', '600085', '600036', '600809', '000002', '002594', '002739']\n",
    "hk_choice_symbols = ['hk03333', 'hk00700', 'hk02333', 'hk01359', 'hk00656', 'hk03888', 'hk02318']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from abupy import AbuDoubleMaBuy, AbuDoubleMaSell, ABuKLUtil, ABuSymbolPd, AbuUpDownTrend, AbuDownUpTrend, AbuUpDownGolden\n",
    "from abupy import AbuFactorCloseAtrNStop, AbuFactorAtrNStop, AbuFactorPreAtrNStop, tl\n",
    "from abupy import abu, ABuProgress, AbuMetricsBase, EMarketTargetType, ABuMarketDrawing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在《量化交易之路》中量化入门章节讲过趋势跟踪和均值回复的概念以及策略示例，量化交易系统中策略的原型只有趋势跟踪和均值回复，不管多么复杂的策略最终都会落在这两个基础策略概念范围内。\n",
    "\n",
    "很多买入策略本身并不能定性为趋势跟踪策略或者均值回复策略，之前的教程一直作为示例使用的海龟突破策略属于一种最简单‘直来直去’的策略，它自身带有明显的趋势跟踪属性，‘直来直去’不代表不好，但是很多时候需要在策略中通过使用非均衡技术进一步构建概率优势，当然这样做也会付出代价，代价就是信号发出的频率会明显降低。\n",
    "\n",
    "本节将讲解在策略中使用**长短线分析**进一步构建**非均衡概率优势**。\n",
    "\n",
    "## 1. 长线趋势下跌与短线趋势上涨\n",
    "\n",
    "* 什么叫做长短线分析？\n",
    "\n",
    "即把整个择时周期分成两部分，长的为长线择时，短的为短线择时，比如一个示例策略如下：\n",
    "\n",
    "1. 寻找长线下跌的股票，比如一个季度(4个月)整体趋势为下跌趋势\n",
    "2. 短线走势上涨的股票，比如一个月整体趋势为上涨趋势\n",
    "3. 最后使用海龟突破的N日突破策略作为策略最终买入信号\n",
    "\n",
    "上面文字描述的策略如图所示：\n",
    "\n",
    "![](./image/du_trend.png)\n",
    "\n",
    "这种长短线策略一个很大的特点为策略本身并不能定性为趋势跟踪策略或者均值回测策略，决定策略到底为趋势跟踪还是均值回复的主要决定在于卖出策略:\n",
    "\n",
    "* 使用较大的止盈位置则上述策略定性为趋势跟踪策略，认为短线上涨形成趋势成立，买入后的期望是后期走势可以长时间保持短线目前的上涨趋势\n",
    "* 使用较小的止盈位置则上述策略定性为均值回复策略，认为短线上涨为长线下跌的回复，买入后的期望是可以短时间内继续保持涨趋势\n",
    "\n",
    "首先使用较大的止盈位置，则策略定性为趋势跟踪策略，abupy内置的AbuDownUpTrend策略为上述策略的代码实现, 关键策略代码如下:\n",
    "\n",
    "    def fit_day(self, today):\n",
    "        \"\"\"\n",
    "        长线下跌中寻找短线突破反转买入择时因子\n",
    "            1. 通过past_today_kl获取长周期的金融时间序列，通过AbuTLine中的is_down_trend判断\n",
    "            长周期是否属于下跌趋势，\n",
    "            2. 今天收盘价为最近xd天内最高价格，且短线xd天的价格走势为上升趋势\n",
    "            3. 满足1，2发出买入信号\n",
    "        :param today: 当前驱动的交易日金融时间序列数据\n",
    "        \"\"\"\n",
    "        long_kl = self.past_today_kl(today, self.past_factor * self.xd)\n",
    "        tl_long = AbuTLine(long_kl.close, 'long')\n",
    "        # 判断长周期是否属于下跌趋势\n",
    "        if tl_long.is_down_trend(down_deg_threshold=self.down_deg_threshold, show=False):\n",
    "            if today.close == self.xd_kl.close.max() and AbuTLine(\n",
    "                    self.xd_kl.close, 'short').is_up_trend(up_deg_threshold=-self.down_deg_threshold, show=False):\n",
    "                # 今天收盘价为最近xd天内最高价格，且短线xd天的价格走势为上升趋势\n",
    "                return self.buy_tomorrow()\n",
    "\n",
    "更多具体实现请阅读源代码，下面做回测示例，如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:7\n",
      "买入后尚未卖出的交易数量:4\n",
      "胜率:71.4286%\n",
      "平均获利期望:13.1159%\n",
      "平均亏损期望:-7.4964%\n",
      "盈亏比:5.1695\n",
      "所有交易收益比例和:0.5059 \n",
      "所有交易总盈亏和:200456.0100 \n"
     ]
    }
   ],
   "source": [
    "# 初始资金量\n",
    "cash = 3000000\n",
    "def run_loo_back(choice_symbols, ps=None, n_folds=3, start=None, end=None, only_info=False):\n",
    "    \"\"\"封装一个回测函数，返回回测结果，以及回测度量对象\"\"\"\n",
    "    if choice_symbols[0].startswith('us'):\n",
    "        abupy.env.g_market_target = EMarketTargetType.E_MARKET_TARGET_US\n",
    "    else:\n",
    "        abupy.env.g_market_target = EMarketTargetType.E_MARKET_TARGET_CN\n",
    "    abu_result_tuple, _ = abu.run_loop_back(cash,\n",
    "                                           buy_factors,\n",
    "                                           sell_factors,\n",
    "                                           ps,\n",
    "                                           start=start,\n",
    "                                           end=end,\n",
    "                                           n_folds=n_folds,\n",
    "                                           choice_symbols=choice_symbols)\n",
    "    ABuProgress.clear_output()\n",
    "    metrics = AbuMetricsBase.show_general(*abu_result_tuple, returns_cmp=only_info, \n",
    "                                only_info=only_info,\n",
    "                                only_show_returns=True)\n",
    "    return abu_result_tuple, metrics\n",
    "# 买入策略使用AbuDownUpTrend\n",
    "buy_factors = [{'class': AbuDownUpTrend}]\n",
    "# 卖出策略：利润保护止盈策略+风险下跌止损+较大的止盈位\n",
    "sell_factors = [{'stop_loss_n': 1.0, 'stop_win_n': 3.0,\n",
    "                 'class': AbuFactorAtrNStop},\n",
    "                {'class': AbuFactorPreAtrNStop, 'pre_atr_n': 1.5},\n",
    "                {'class': AbuFactorCloseAtrNStop, 'close_atr_n': 1.5}]\n",
    "# 开始回测\n",
    "abu_result_tuple, metrics = run_loo_back(us_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面使用plot_candle_from_order接口可视化交易单，以及买入卖出点，如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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uafX1GzK8e0+euOW21NersOkU7d71br6PHwAAAJgtwRRnq9VS37gpo2uGktpTFTabL7my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\nxder1nZvMNWsEyrsoBcIpgCgx9k1CqB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F53LttVfx0Y9+jH322YfFi1e2dtft+sY3vs05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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c21f52048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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rLQCQl+vKmptV/Xxccl3JIvAJAAAAAOUIUsZU3Sb/ACDbo49mXax0EXJrblax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\npwOoOuPnVwAIIQJTiAyWbQC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Ynnvud9x1121NrrexGDpD0mNMSZIk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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c207cd898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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bt46yssGsW7eOiooKli59lLfeepOf\n/OR+AM477+uMHLkv99+/kBUrXmbYsCouu+xKNm7cyBVXfJvy8vLmWV+Z7a3N1rduq/qGDBna/Pi7\n+1DR6X61td3cZe2t19Z226tBkiRJkqSBwFMLe2hE2WCWr1/XpbHL169jz+xMpq4aNGhQ87WTYnz3\ndMH77/853/jGRcydO5/nn48sX/7HFutNmDCJpUsf5ZVXXgZgzJhDePLJZTz77DPNYxYt+jnDhlWx\n226784tf/JwLLriEOXOuY86c6/j2t6/g3nt/2q1am7z99ltMnTqFiRO/zlFHHdO8fM89A3/4w5MA\nLF36GPvu+/E2199xx2p+9KN7mTt3PnPnzqeycgdmzryC/fffv3nZQQeNYeTIfXn88Uebt7fPPvtR\nUVFJWVkZgwYNoqysjKFDh/LOO+9w4YWXMHfufC677EoaGxu56KLzGDFiT775zW9RUlIC0Gp7j25V\n38iR+/LEE0tpaGhg5cqVNDQ0MmzYsE73q63tfvCDH2LFipeprV3D5s2befrpp9h7731arNfWdtur\nQZIkSZKkgcAZWT00rrKKWW+82qXrZN275m0uHL5rt7Y/evRB/PznP2PixK8SwkcZMiTzDYMf/vAI\nxo8/hWHDqqiuruZjH9u7OfQAKCsrY9q06Zx55ulA5pS2K6+8hmuvvZra2jXU129hxIg9mTHjclat\neptnn/0zM2de0bz+Pvvsx6ZNm7YKyFq7++672H339zFmzCHNy+6883bq6upYsOAWFiy4BYCrr76W\nKVPOYdasy7nppuv5wAc+yNixh3brWLR26qlf5bLLZrBo0UJ22GEY06dfzvbbb8+TTz7BhAmnUVxc\nzD777McnPzm6xXr/938P8fTTf2DTpk0sXfoYAGedNYVjjz2eyy6bzsSJX2W77bZj+vTLWqz3kY98\nlH322Y8zzzydxsZGpk69AKDd/Tr33MnMmvW9NrdbWlrKlCnnMnXq12loaODII4+muno4L730N372\ns5/wjW9c2OZ2S0pK2qxBkiRJkqSBoKixR6e69S81NXXdOhjV1RXU1NSxpG41b9TXc1LVju2OvWvV\nmwwvLeWwCmfPbKum461ksS/JYS+Syb4kg31IJvuSTPYlOexF8tiT5MhXL4bPqwTgjUm1vb7tgaC9\nvlRXV/TOBcPx1MJecVjFMKpLS5m5csVWpxkuX7+OmStXUG2IJUmSJEmS1COeWthLvlAxjLFDKllU\nu4pf1K6iuKiIhsZG9iwbzIXDd6Ws2MxQkiRJkiSpJwyyelFZcTHHD3tvocuQJEmSJEnql5wmJEmS\nJEmSpFQwyJIkSZIkSVIqGGRJkiRJkiQpFQyyJEmSJEmSlAoGWZIkSZIkSUoFgyxJkiRJkiSlgkGW\nJEmSJEmSUsEgS5IkSZIkSalgkCVJkiRJkqRUMMiSJEmSJElSKhhkSZIkSZIkKRUMsiRJkiRJkpQK\nBlmSJEmSJElKBYMsSZIkSZIkpYJBliRJkiRJklKhNF8bDiGUADcDAdgCnA7sACwCns8OuyHG+OMQ\nwnTgSKAeOCfG+EQIYQSwAGgEngEmxxgbejo2X/srSZIkSZKk/MrnjKxxADHGTwOXAnOAUcCcGOPY\n7H8/DiGMAg4BRgMnANdn158DXBxjPBgoAo7ppbGSJEmSJElKobzNyIox/jyE8Ivs3Q8ArwOfAEII\n4Rgys7LOAcYAS2KMjcA/QwilIYTq7NiHs+v/CjgMiD0dG2Osydc+S5IkSZIkKX/yFmQBxBjrQwh3\nAMcCxwO7AbfEGH8fQvgWMB1YDbyVs1odmVMQi7IhVO6yyl4Y226QVVVVTmlpSbf2sbq6olvj1TMe\n72SyL8lhL5LJviSDfUgm+5JM9iU57EXy2JPkyGcv7PO2y/exy2uQBRBjPDWEcAGwDDgoxvhK9qGF\nwHXAfUDuXlaQCbca2lhW2wtj27Vq1bqu7VRWdXUFNTV13VpH287jnUz2JTnsRTLZl2SwD8lkX5LJ\nviSHvUgee5Ic+e6Ffd427fWlN8OtvF0jK4RwcgjhouzddWTCpntDCJ/KLjsU+D3wKPCFEEJxCOH9\nQHGM8U3gqRDC2OzYI4BHemmsJEmSJEmSUiifM7LuBW4PIfwfsB2Z62G9DMwNIWwCVgITYoy1IYRH\ngMfJBGuTs+ufB9wcQhgEPAfcE2Pc0gtjJUmSJEmSlEJFjY2NnY8aIGpq6rp1MJxW2rc83slkX5LD\nXiSTfUkG+5BM9iWZ7Ety2IvksSfJka9eDJ9XCcAbk2p7fdsDQQenFhb11s/I26mFkiRJkiRJUm8y\nyJIkSZIkSVIqGGRJkiRJkiQpFQyyJEmSJEmSlAoGWZIkSZIkSUoFgyxJkiRJkiSlgkGWJEmSJEmS\nUsEgS5IkSZIkSalgkCVJkiRJkqRUMMiSJEmSJElSKhhkSZIkSZIkKRUMsiRJkiRJkpQKBlmSJEmS\nJElKBYMsSZIkSZIkpYJBliRJkiRJklLBIEuSJEmSJEmpYJAlSZIkSZKkVDDIkiRJkiRJUioYZEmS\nJEmSJCkVDLIkSZIkSZKUCgZZkiRJkiRJSgWDLEmSJEmSJKWCQZYkSZIkSZJSwSBLkiRJkiRJqWCQ\nJUmSJEmSpFQwyJIkSZIkSVIqlOZrwyGEEuBmIABbgNOBImAB0Ag8A0yOMTaEEKYDRwL1wDkxxidC\nCCPyMTZf+ytJkiRJkqT8yueMrHEAMcZPA5cCc7L/XRxjPJhMqHVMCGEUcAgwGjgBuD67fr7GSpIk\nSZIkKYXyFmTFGH8OTMje/QDwOvAJ4OHssl8BnwPGAEtijI0xxn8CpSGE6jyOlSRJkiRJUgrl9RpZ\nMcb6EMIdwHXAPUBRjLEx+3AdsANQCazJWa1peb7GSpIkSZIkKYXydo2sJjHGU0MIFwDLgO1zHqoA\nVgO12dutlzfkaWy7qqrKKS0t6XynclRXV3Q+SL3G451M9iU57EUy2ZdksA/JZF+Syb4kh71IHnuS\nHPnshX3edvk+dvm82PvJwO4xxiuAdWTCpidDCGNjjA8BRwC/BV4AZoUQZgO7A8UxxjdDCE/lY2xH\nNa9ata5b+1hdXUFNTV231tG283gnk31JDnuRTPYlGexDMtmXZLIvyWEvkseeJEe+e2Gft017fenN\ncCufM7LuBW4PIfwfsB1wDvAccHMIYVD29j0xxi0hhEeAx8mc6jg5u/55eRorSZIkSZKkFCpqbGzs\nfNQAUVNT162DYRrftzzeyWRfksNeJJN9SQb7kEz2JZnsS3LYi+SxJ8mRr14Mn1cJwBuTant92wNB\nBzOyinrrZ+T1Yu+SJEmSJElSbzHIkiRJkiRJUioYZEmSJEmSJCkVDLIkSZIkSZKUCgZZkiRJkiRJ\nSgWDLEmSJEmSJKWCQZYkSZIkSZJSwSBLkiRJkiRJqWCQJUmSJEmSpFQwyJIkSZIkSVIqGGRJkiRJ\nkiQpFQyyJEmSJEmSlAoGWZIkSZIkSUoFgyxJkiRJkiSlgkGWJEmSJEmSUqG00AVIkiRJkiT1purh\nlc23a96oLWAl6m3OyJIkSZIkSVIqGGRJkiRJkiQpFQyyJEmSJEmSlAoGWZIkSZIkSUoFgyxJkiRJ\nkiSlgkGWJEmSJEmSUsEgS5IkSZIkSalgkCVJkiRJkqRUMMiSJEmSJElSKhhkSZIkSZIkKRUMzzBU\n8wAAIABJREFUsiRJkiRJkpQKpfnYaAhhO+A24INAGXAZsAJYBDyfHXZDjPHHIYTpwJFAPXBOjPGJ\nEMIIYAHQCDwDTI4xNvR0bD72VZIkSZIkSX0jXzOyTgLeijEeDBwBzAVGAXNijGOz//04hDAKOAQY\nDZwAXJ9dfw5wcXb9IuCYXhorSZIkSZKklMrLjCzgp8A9OffrgU8AIYRwDJlZWecAY4AlMcZG4J8h\nhNIQQnV27MPZdX8FHAbEno6NMdbkaX8lSZIkSZKUZ3mZkRVjfCfGWBdCqCATaF0MPAGcH2P8DPA3\nYDpQCazJWbUO2AEoyoZQuct6Y6wkSZIkSZJSKl8zsgghvA9YCMyLMf4whDAsxrg6+/BC4DrgPqAi\nZ7UKYDXQ0May2l4Y26GqqnJKS0s637kc1dUVnQ9Sr/F4J5N9SQ57kUz2JRnsQzLZl2SyL8lhL5LH\nniRHV3uxLT2zz9su38cuXxd73wlYAkyJMf5PdvHiEMLXsxddPxT4PfAoMCuEMBvYHSiOMb4ZQngq\nhDA2xvgQmWts/RZ4oadjO6t71ap13drP6uoKamrqurWOtp3HO5nsS3LYi2SyL8lgH5LJviSTfUkO\ne5E89iQ5OutFdc7tbemZfd427fWlN8OtfM3ImgZUAZeEEC7JLpsKfC+EsAlYCUyIMdaGEB4BHidz\nmuPk7NjzgJtDCIOA54B7YoxbemGsJEmSJEmSUqqosbGx81EDRE1NXbcOhml83/J4J5N9SQ57kUz2\nJRnsQzLZl2SyL8lhL5LHniRHpzOyhlc23655o7bL2x0+L7PeG5O6vo7e1cGMrKLe+hl5udi7JEmS\nJEmS1NsMsiRJkiRJkpQKBlmSJEmSJElKBYMsSZIkSZIkpYJBliRJkiRJklLBIEuSJEmSJEmp0OUg\nK4RQlc9CJEmSJEmSpI6UdjYghLAfcDdQHkI4EHgY+LcY4x/yXZwkSZIkSZLUpCszsq4FjgXeijG+\nAkwEbsxrVZIkSZIkSVIrXQmyymOMzzXdiTH+GijLX0mSJEmSJEm9p3p4JdXDKwtdhnpBV4Kst0MI\n+wKNACGE/wDezmtVkiRJkiRJUiudXiOLzKmEdwB7hRBWA88DJ+W1KkmSJEmSJKmVToOsGOOLwJgQ\nwhCgJMZYm/+yJEmSJEmSpJa68q2FBwPnAFXZ+wDEGP+/vFYmSZIkSZIk5ejKqYULgJnAP/JbiiRJ\nkiRJktS+rgRZr8QY78x7JZIkSZIkSVIHuhJkXRtCuAv4X6C+aaHhliRJkiRJkvpSV4KsM4DBwME5\nyxoBgyxJkiRJkiT1ma4EWTvHGEflvRJJkiRJkqSEqB5e2Xy75o3aAlaiXMVdGLMshHBUCKEk79VI\nkiRJkiRJ7ejKjKwvAmcChBCaljXGGA22JEmSJEmS1Gc6DbJijLv0RSGSJEmSJElSRzoNskIIl7a1\nPMb47d4vR5IkSZIkSWpbV66RVZTz3yDgaGCnfBYlSZIkSZIktdaVUwtn5t4PIXwHWJK3iiRJkiRJ\nkqQ2dGVGVmtDgff3diGSJEmSJElSR7pyjayXgMbs3WKgCrgqn0VJkiRJkiRJrXUaZAFjc243Aqtj\njLUdrRBC2A64DfggUAZcBjwLLMhu4xlgcoyxIYQwHTgSqAfOiTE+EUIYkY+xXdhXSZIkSZIkJVS7\npxaGEE4JIZwCHJLz31jgi9nlHTkJeCvGeDBwBDAXmANcnF1WBBwTQhiV3e5o4ATg+uz6+RorSZIk\nSZKklOpoRtZnO3isEbizg8d/CtyTc78e+ATwcPb+r4DDgAgsiTE2Av8MIZSGEKrzNTbGWNNBzZIk\nSZIkSUqwdoOsGOPpTbezpwqG7PhnYoz1HW00xvhOdr0KMoHWxcDsbLAEUAfsAFQCb+Ws2rS8KE9j\nDbIkSZIkSZJSqisXe/8E8DMywVAxsFMI4dgY47JO1nsfsBCYF2P8YQhhVs7DFcBqoDZ7u/XyhjyN\n7VBVVTmlpSWdDWuhurqi80HqNR7vZLIvyWEvksm+JIN9SCb7kkz2JTnsRfLYk+Toai9yx23LOt1Z\nT/k/Vl252Pu1wFeagqsQwgHAdcCn2lshhLATsASYEmP8n+zip0IIY2OMD5G5btZvgReAWSGE2cDu\nQHGM8c0QQl7Gdrajq1at68LheFd1dQU1NXXdWkfbzuOdTPYlOexFMtmXZLAPyWRfksm+JIe9SB57\nkhyd9aI653ZNTV3z/a72L3ed7qw30LXXl94Mt7oSZA3NnX0VY1waQhjcyTrTgCrgkhDCJdll/wlc\nG0IYBDwH3BNj3BJCeAR4nMxsr8nZsecBN+dhrCRJkiRJklKqK0HW2yGEY2KM9wGEEL5Iy+tPbSXG\n+J9kgqvWDmlj7AxgRqtlf83HWEmSJEmSJKVXV4KsC4DrQgi3Zu//DTg5fyVJkiRJkiRJW+tKkDUP\nGAxcA9wZY3w5vyVJkiRJkiRJWyvubECMcX/gi9mxvwwh/DaEcEbeK5MkSZIkSZJydBpkAcQYXwDm\nAP8FVAIX5bMoSZIkSZIkqbVOTy0MIRwLnAgcACwCvh5jfCzfhUmSJEmSJEm5unKNrJOAHwAnxhg3\n57keSZIkSZIkqU2dBlkxxi/1RSESQPXwSgBq3qgtcCWSJEmSJClpunSNLEmSJEm9r3p4ZfMf8iRJ\nUucMsiRJkiRJkpQKBlmSJEmSJElKBYMsSZIkSZIkpYJBliRJkiRJklLBIEuSJEmSJEmpYJAlSZIk\nSZKkVDDIkiRJkiRJUioYZEmSJEmSJCkVDLIkSZIkSZKUCgZZkiRJkiRJSgWDLEmSJEmSJKWCQZYk\nSZIkSZJSwSBLkiRJkiRJqWCQJUmSJEmSpFQwyJIkSZIkSVIqlBa6AEmSJGmgGD6vsvn2G5NqC1iJ\nJEnp5IwsSZIkSZIkpYJBliRJkiRJklLBIEuSJEmSJEmpkNdrZIUQRgNXxhjHhhBGAYuA57MP3xBj\n/HEIYTpwJFAPnBNjfCKEMAJYADQCzwCTY4wNPR2bz32VJEmSJElSfuUtyAohfBM4GVibXTQKmBNj\nvDpnzCjgEGA08D7gZ8AngTnAxTHGh0IINwLHhBD+0QtjJUmSJEmSlFL5nJH1InAc8IPs/U8AIYRw\nDJlZWecAY4AlMcZG4J8hhNIQQnV27MPZ9X4FHAbEno6NMdbkcX8lSZIkSZKUR3m7RlaM8WfA5pxF\nTwDnxxg/A/wNmA5UAmtyxtQBOwBF2RAqd1lvjJUkSZIkSVJK5fUaWa0sjDGubroNXAfcB1TkjKkA\nVgMNbSyr7YWxHaqqKqe0tKQr+9Ksurqi80HqtvaOq8c7mexLctiLZLIvyWAfkmkg9yV335N2HJJW\nz0BmL5LHniRHV3uxLc+3rcfZ967L97HqyyBrcQjh69mLrh8K/B54FJgVQpgN7A4UxxjfDCE8FUIY\nG2N8CDgC+C3wQk/HdlbgqlXrurVD1dUV1NTUdWsddaw6+/+2jqvHO5nsS3LYi2SyL8lgH5JpoPel\npqauw/c+hTLQ+5Ik9iJ57ElydNaL6pzb2/J8m7tOd9Yb6NrrS2+GW30ZZE0E5oYQNgErgQkxxtoQ\nwiPA42ROc5ycHXsecHMIYRDwHHBPjHFLL4yVJEmSJElSSuU1yIox/h04IHv7D8BBbYyZAcxoteyv\nZL51sFfHSpIkSZIkKb36ckaWJEmSJElSqg2fV9l8+41JtQWsZGDK27cWSpIkSZIkSb3JIEuJNXxe\nZYukW5IkSZIkDWwGWZIkSZIkSUoFgyxJkiRJkiSlgkGWJEmSJEmSUsEgS5IkSZIkSalgkCVJkiRJ\nkqRUMMiSJEmSJElSKhhkSZIkSZIkKRUMsiRJkiRJkpQKBlmSJEmSJElKBYMsSZIkSZIkpYJBliRJ\nkiRJklLBIEuSJEmSJEmpYJAlSZIkSZK6pHp4JdXDKwtdhgaw0kIXIEmSJBVa7oeymjdqC1iJJEnq\niDOyJEmSJEmSlAoGWZIkSZIkSUoFgyxJkiRJkiSlgkGWJEmSJEmSUsEgS5IkSZIkSalgkCVJkiRJ\nkqRUMMiSJEmSJElSKhhkSZIkSZIkKRUMsiRJkiRJkpQKBlmSJEmSJElKhdJ8bjyEMBq4MsY4NoQw\nAlgANALPAJNjjA0hhOnAkUA9cE6M8Yl8jc3nvkqSJEmSpP5p+LzKQpegrLzNyAohfBO4BRicXTQH\nuDjGeDBQBBwTQhgFHAKMBk4Ars/zWEmSJEmSJKVUPk8tfBE4Luf+J4CHs7d/BXwOGAMsiTE2xhj/\nCZSGEKrzOFaSJEmSJEkplbcgK8b4M2BzzqKiGGNj9nYdsANQCazJGdO0PF9jJUmSJEmSlFJ5vUZW\nKw05tyuA1UBt9nbr5fka26GqqnJKS0s6G9ZCdXVF54PUbbnHtb3bSg77khz2IpnsSzLYh2RKYl9y\nr4PSOL2xg5E9k+T3OEmrZyCzF8ljTzKScBy6WsO2PN/29riBJN/HpC+DrKdCCGNjjA8BRwC/BV4A\nZoUQZgO7A8UxxjdDCHkZ21mBq1at69YOVVdXUFNT16111LGm8z9zj2vTbY93MtmX5LAXyWRfksE+\nJFOS+tLeNSi2tb6mMOyNSbXtjqmpqWvzvU+hJakvA529SB570vZntoLU0Ukvcp/Xt+X5Nnedzsbp\nXe31pTfDrb4Mss4Dbg4hDAKeA+6JMW4JITwCPE7mNMfJeR4rSZIkSZKklMprkBVj/DtwQPb2X8l8\nk2DrMTOAGa2W5WWsJEmSJEmS0iuf31ooSZIkSZIk9RqDLEmSJEmSJKWCQZYkSZIkSZJSwSBLkiRJ\nkiRJqWCQJUmSJEmSpFTI67cWSuq+6uGVzbdr3qgtYCWSJEmSJCWLM7IkSZIkSZKUCgZZkiRJkiRJ\nSgWDLEmSJEmSJKWCQZYkSZIkSZJSwSBL6sDweZUMn1fZ+UBJkiRJkpR3BlmSJEmSJElKBYMsSZIk\nSZIkpYJBliRJkiRJklKhtNAFSJIkSZLaVj383eu11rxRW8BKJCkZnJElSZIkdcAvf5EkKTkMspR6\n1cMrW/ylSpIkSZIk9U8GWZIkSZKUEs4QlJLHyRV9yyBLkiRJSgA/CEnqT3xOU74YZEmSJKlPOJNE\nkiT1lN9aKEmSpF7jN6xJkqR8MsiSJEmSJEl9wj94dCx35vIbkzw+bTHIkiRJkiQpZQyE0qcppHpj\nUq396wGDLBWUabMkSenX9GbcN+KSJCnfDLIkSZIkSVIqObNp4PFbC6UU8dueJEmSJEkDmUGWJEmS\nJEmSUqHPTy0MITwFrMnefQm4Cfg+UA8siTHODCEUA/OAfYGNwNdijC+EEA7oydi+20upc15PZGu5\nFz+UpHzw9ANJ3eX7ExWa/wallvo0yAohDAaIMY7NWfY08CXgb8AvQwijgA8Cg2OMB2YDqauBY4Ab\nezI2xviHvthPdSz3QwQzClaGJEka4PyjkjRw+YcNKb36ekbWvkB5CGFJ9mfPAMpijC8ChBAWA4cC\nuwAPAsQYl4YQ9g8hVPbCWIMs5YV/JZEkSZKkvuHnr4Gtr4OsdcBs4BZgT+BXwOqcx+uAPYBK3j39\nEGBLdlltD8eqQPrqiSb3Qugd/Syf+Aa2rv47Ue/weEuSJPWOFme3SANUXwdZfwVeiDE2An8NIawB\n3pPzeAWZYKs8e7tJMZlgqqKHYztUVVVOaWlJl3cGoLq6ovNBaVdU9O7txsZ37zc2dntTHR2v3Me6\ncruzbXelN13tX7fGdfP4dGefultPX+ntevpy/5J2LHsq6fuT9PryZaDud9Jsy+uEuqerx7irr+19\nZVven+Rz20k/Jlu9NxwgktaXJNTTX3T3WBbq2G/L54Z86o3PUj2tO5+vO9syblu33d7ld9L6e57v\nuvs6yDoDGAlMCiHsSiaEWhtC+DCZa1l9AZgJ7A6MA36Sve7V8hhjbQhhUw/HdmjVqnXd2pnq6gpq\nauq6tU4aVefcrqmpa76/Lfueu35Hj+Vuu+l2e8e7vXq6Ul9X96Gmpq5Ls0q6c3zaG9f6eLf3c5Ii\nH78Hfbl/STqWPZWG56Sk15cPaejLQNDUh648xw40vXGdmNzXtO68jhX696O9unO19Z6kOzpap/X7\nhp68x+pNnfVloP4eFWJfW38Y7Om/R71rW/8dF/J5q6vPVfnWF593uqqj152efo7t6Hi3Ny4f206b\ndj+392K41ddB1q3AghDC74BGMsFWA/DfQAmZbxdcFkL4f8DnQwiPAUXA6dn1z+rJ2D7Zw36iP0xZ\n9XQmSZLUH+VeIsELVkuSBpo+DbJijJuAE9t46IBW4xrIBFGt11/ak7HSQJH7BtdAT5IkSZLUX/T1\njCxJktRHnKmh9vSHmdeF0nTs/J3qG35Bj6TuyP0j/sC5gt/AY5A1APgGIN3snyRJ0sDih3ENVH72\nUVcUF7oASZLUN6qHVzoTR5Kkbujvr53D51W2CE6lNHBGliSpz6Tpmm1pqlWSJKmnvCSB0sIgS5JU\nME4fl6S+4bW9pOTpzd9LQygNJAZZkqRe5wcmSXqXp+0oLXz9lpQGBlmSJEnKC2cIpJunWKu/Magr\nHL/AQL3JIEsDhqcwSVL++OFAKjyDJ6nnDOCl5DPIUo8YDqWb/ZP6B0MkSYWU1uegJLwPSuuxK4R8\nBky9MVvIXkp9p7jQBUjq//xaXxVCf/+6bClffM6WJElJ5owsKQH66sN2b59y0FR3Nf71SZJ6m6eJ\nSV2XO7vKU8MkqX8zyJKUOkk4FUBKu205BaKrHw79HZX6Hy/U3DGDZ0nqOwZZkqR+z+tWSJKkQnO2\noNQ7DLIkSS20/quys2uURoaXGuicIZQfHld1l7MZpd5nkCVpQOirMMa/tGmg8N96fuQzgEtaKJ20\nelQ47V0r1OcWSVJbDLIkAb3/4amnH1D8kCz1f2mdNWUAI6kzSXieSEINSi9nHyrJDLKkbeATe/9h\nL7vHN8XbbluOXVqDHvUt/51I6o7e+GOh7wc6lvv+slB687XBPzAraQyy+inf1KqvFSoQ6u9vpPr7\n/klpZxief7nvafwwJfV/fo6R1BmDLElSv2CYmh/uXzL5QU9plNbft/YkYdZN0vRV2GyoLQ1sBlmS\nuqUQb0L745uV/vZmvjdsyzHpqw8Rafo32N5Fk5POmU2SJEnqCoMsSUoJP+gPDM606f3g0K8+l5LH\n38v+rzeey9P6xxlJ+WWQJUk5ejNEaB08OQurdxj0DDz+7khS+vlcLqm3GGRJ0gBlILTtenrsnF0n\nSX0vTaeJp0kSZtcZkkkDi0GWJPVQIQKhfJ56pb7lB6v+o6OAMq0fstIUeKf1GEtNfC2WpK4xyJKk\nfqA5DMn5evo0fPCUpG3VUQjs86DUUnvXmnKGsKQ0MsiSJGkA2UAZP/1pKa/yHUrYQt0VgxgxooFx\n4+oZPLjQ1fUvhinaStF2UH0IlL8fGhu44vVXGPW5z3H8ww8XujJJklLDIEuSpAFiEUfxO8bwhY80\nMIlLAKi5aCrLlxcza9YgRo/ewhe+sKXAVXZsoJ4+5qyJfuC9B0LlSHjjf+CN3wBw0ZHX8spLLzH9\n9NMZWbeakwpcYn/kt95JUv9TXOgC8imEUBxCuDGE8HgI4aEQwohC1yRJUiEsXlzC6+zElVzIyJEN\nLR4bObKBSy/dRE1NMYsXlxSoQqkfe++BsF0VvDQf1r7Y4qH9XnyRK+fPp6a+nkUHHligAiVJSo9+\nHWQBXwQGxxgPBC4Eri5wPZIk9bkNlLFsWQlf49YOx5100maWLi1l48Y+KkwaADY0NGRmYq18oMNx\nJ1XtyCP77MPG7bbro8okSUqn/h5kjQEeBIgxLgX2L2w5kiT1vXs4nmOPre/S2OOO28yiRV55QOot\ni2pXZU4n7IITf/Mb7jnkkDxXJElSuvX3IKsSWJNzf0sIwXfnkqQB5S98ZKvTCdszcmQDzz/f398e\nSH3nhY0btjqdsD37vfgiz73//XmuSJKkdCtqbGwsdA15E0KYAyyNMf4ke39FjHH3ApclSVKfKipi\nZmMj0/M1XlL7ih56aGbj2LFd//3r5nhJkgaa/h5kfQkYF2M8LYRwADA9xnhEoeuSJEmSJElS9/X3\n0+wWAp8PITwGFAGnF7geSZIkSZIkbaN+PSNLkiRJkiRJ/YdXc5UkSZIkSVIqGGRJkiRJkiQpFQyy\nJEmSJElSvxVCKCp0Deo9Bll9JIRQHEIoK3QdA1EIwX/nCZH9PSjP3vbFpEBCCNuFED5S6DrUUgih\nJIQwrNB1qPl35KgQwpBC16K2+dqeTL62F04IoSiEUNp0u9D1SEkSQigBygtdh9q2Lc9ZXuy9D4QQ\nJgD/CvwNuDbG+PfCVtS/hRAmAaOAv8QYZxe6HmWEEHYBvgf8JMb4s0LXM1CFEE4DJpDpw/cKXI6y\nQghnAccBvweuiDHWFrikASuEcBwwHdgxxrhboetRRva1fX/guRjjVYWuRxnZ5659gOdjjNcUup6B\nKoQwETgIeAn4boxxQ4FLGvCyH8x3A2YA58cYVxW2ooErhDCezHusfwA/BB6JMRqCFFgI4WPAlBjj\npG1Z379m5UnTXwpDCCcCXwDOBSqBs7LL/UtJL2o6niGELwGHAVcBXwohnJdd7r/1Asj+dbDp33ox\n8C/AqKbZQP4e9I3sTLjtQggXkwnVjwbmhhC2L3BpA1rO89YBwGeALwHLybxWqI+FEHYOIdxHpg8z\ngR9kl5cWtLABrOk1JIRwMnA4MAf4cghhWvZxX9sLIOc97unAOOBq4JMhhAtDCO8taHEDUAjh08AR\nZAKTXYFpIYR9ClqUyAYlHwJOItMfFUAI4VAy730nkgl6jwbK/QxSGK2O+8eACSGEg7OPdes13TcA\neRBCqAK2y979JLA0xvgSMB/4WAih2BS492SP96Ds3THAshhjBG4D3htC2D7G2FCwAgeopt+DnH/r\nHwWeB+rI/B4MBXwRybOcPmwG6oFXyLypehD4aQhhbAhhcCFrHIhavU6MAd4m05eTgatDCAeEEAa1\nt756TwihKoSwHbCRzEyG/wD+ChwMEGOsL2R9A1XTa3v2NWQvMjN+ngGuB8pCCGW+tve9Vs9dHyXz\nHvdF4GLg34EDDRjzL4QwNOe1+xDgpWwfZpB5b/VpT43ue9m+lGVvl5N5HbkdODGE8L6CFjeAtPr9\nOAr4c/aMqF+Smdm7wc/ifS+EUJFzexcyz103ZP+ju6/pvtD0shDCBcB9wGXZ0xOuBG7NPrwXsNw3\nXr0n53hfHkI4GrgUuDKE8HHgG8D7gHkhhD0LWOaA0+r34CvZxUPI/D5E4HzgOmCHwlQ4MOT04bsh\nhH8Fvg8cDwyLMX4OuJ/MC/yHClflwNOqL0cBvybzu1AdYzwCeAz4MvDBghU5QOQ+VwGfjzEuyz60\nAXgihPCeghU3gLV6bT+KzHPXJ0IIt5MJsnYFrg8hfLiAZQ44rV7bvww8SuYPhlUxxr8BLwD7xhgb\nnO2QP9lrKV5BZvYowCLgX0IIu8UYVwBPAnuQed+lPpLTl+OyizYBD8UYJwKvAqcY8uZfG78flwPX\nZm/vROb09C2FqG0gy54V8hMyrx+jYoyvAb+KMX4deHNbzqLyl6kXhRD2I3N6yL8BS8h8EPl0jPHt\n7F/WxwEPZ8eO8K/tPdPqeD9I5i+Bh2eDwheBT8YYTwaqyQRansrWB9r4PTg2hHAEmQssfhMYT+av\nhU2zs5QHrfrwK+B04AAys37uBYgxzgc+jm92+0yrviwGvkLmtWETmdkNxBi/T+Y6f1UFKnNAaNWL\nX5N5rjo++/Aw4KMxxrcLVd9A1cZr+ynACOA/gQ8Au8cYxwPvJXO6uq/tfaCN1/YjgQDUALeEEP6H\nzHvcY0IIuzrbIa8OJnMZjU9lZ/n8BXgK/v/27jVWrqoM4/ifthKIXCJEJGgkRNM3aCwKJIAEBCEh\nxAjhpsQE0aCliTbR0EihxGhAQ4QvRTSKIAi0cgtFELxQwQsqghRIy+VRuWnRBiq2UqgeqPXDuyc9\nOSntmdPO7Hdmnt8nzswpXdn/zExn7bXX5jMAkn5ErvTdq7URjqZOl0MjYt9mNe/DzXOXAEeT+8lZ\nb41/fewraTXwz+a5j5EnC4mIWRHhE+p9EBEfAg4iv4v8AzgrIg6XdFfzK18A5kbEm7s5EeKJrO1r\nJvCApFXAL4AfAnOaSxZ2BlYBr0bEDeReWd53Y9uMP973kMd7dvPc7sAuEbEX8Bp5dh3/w6ovxne5\nl9xUcR55HfS/gHPJCa29yUtvrTcmdrgemE+eQf9vROzfXCKyGljX3jBHzsQuNwAfJs+o7xoRxzXL\nrV8m37usdzb3GXJ2REyX9EdgLHKDWE+U9NfELovJy9Z2I0+C7BkRewPTaV4j/mzvi4nvXbcAxwDf\nIFdYfxn4LnA/sLatQY6IdwLXAn8FTmy2DrgJOLr5DNmH/LLoK0D6q9PlOeBEAEnrm8+UP5OvjXle\nyNBzm+uwodnSZCOwJiKuZ9OJdeu9g8kN9leR71UPAWd2Vl9JeoScYLym+XlSn+meyNpGE5a/PQt8\nJCJ2alYFLSVXBh1FzsDPIb/A3y5pnqRX+zzcgTeZ491cynYY8D1gCbBE0u/6PtgRsoUuG8gvIsuA\n1ZLmSFpOfphfJen3/R/t8NpKh7vJTS5PIs9WfZtc7XCnpCf7PdZRsoUur5MrGB4jv5RfBXyKvORz\niaRlfR7q0JvkZ/ZpzfPXAod4X8ve20qXu8lL0meRG/BfTK4qvUXS0n6PdZRs5b3rHvKL4kfJkyGf\nA34DLJP0Sr/HOsxi0+b6nS/dNwKXk5/pM5vLdB4hL586DbgNuEPS422Md1RsocuzwLsi4qDm8c7z\nXwOukzTWz3EOu0l0OLh5fBa54OEs4C5JcyWt6fNwh15E7NzZn2zcZ8gycrN9JL1Afg98hbxSpGM2\neYJk0jyRNQURcUJEXDLu52kRsYOkB8j9Ac4DaCaq/g5sANYDC4CTJS1uYdgDq8vj/TzvfW6iAAAG\nHUlEQVQ5YXITeRnCkZKubWPcw66LLuuAfwMrmt97k6QxSY+2Me5hM4XXx0uSriQvMfygXx+90eXr\n40VgjaQlwNnAIZKubmPcw2gKn9kvNr+6FJjtfS17o4sur5BNnpD0fXJ11hF+7+qNLl8vK4G1zQrG\nb5KfKde0MOyhs7kOnQl1SaslrQUeBP5GTjBOk3QrMBc41J8hvdFll+Ob187rze+tl/SzloY+VKbQ\nYRq5pcn5wKn+Lt4bETGXPCk7c9xj0yTdC6yIiIuah58ktzV5ufmd6ZLWSbqxm79vh40bfZKxWxHx\nVeAc4EBJfxr3+Cw27eNwNbCGvIzqHK8Imrouj/eXgPMl/bKFoY6UKXSZL+nXbYx1mPn1UdMUupwn\n6VdtjHXYuUVNfu+qyV1q2EKHI4AxNTemiIjjyM3Fr5D0UCuDHSHuUkOXHU4BvuNV7r3TXM58H7AI\nuLSZSBz//HvIPfuuIldezWDTHMnDTJH3aOpCM6P4P3J1yWLyVpHHNNfcXkwuWTyJvC79IPIN7HxP\nYk3NFI/3Av+Dqre2oYsnsbYjvz5q2oYunjjZztyiJr931eQuNUyiw3vJrUo6fgs8prxbofWIu9Tg\nDmWtJi8tvx84LyJ2JrcE+AHZ5UByT8VzyMsJjwYu3JZJLPCKrDfULAXdGBFzgHWSrm+WJe4GXCnp\n1Ih4HFgO3Aw8J+nBNsc8yHy8a3KXGtyhJnepwy1qcpea3KUGd6jJXWpwh5reoMuewOeBY8n9RR8l\nbwCyElgo6YlejMUTWVsRETeTd1t7n/J2kO8mb5e+HLiIXCa3T2cPjeYazw2tDXjA+XjX5C41uENN\n7lKHW9TkLjW5Sw3uUJO71OAONW2myynArmr2SYyIQ4BzJZ3c/Lzdu3iz9wkib+nc+e8jyaVyK4GF\nzcO7A18kb+d5DPAE8JXOn/ELpzs+3jW5Sw3uUJO71OEWNblLTe5SgzvU5C41uENNW+hyWfPwT4FF\nEbFr8/P+5L5ZQG+6eEVWIyLeQb4I9gLuAH4CjAF7krcX/gt5l5ynIuIDnWs6I2ImsJ98F4qu+HjX\n5C41uENN7lKHW9TkLjW5Sw3uUJO71OAONU2yy+GSnomI08kJxl2A6cDXJd23uf/v9uCJrEZEXADs\nSN6J5QzgreSdi9Y1z19ELp07cdyfmSHp9TbGO+h8vGtylxrcoSZ3qcMtanKXmtylBneoyV1qcIea\nJtHlQuAASSdExI7AW4DDJN3W67GN9ERWRHwaOAp4CtiP3D3/6eba29nA85IWjvv9l4AzJN3ZxngH\nnY93Te5SgzvU5C51uEVN7lKTu9TgDjW5Sw3uUNMUu3xS0o/7Oc6R3SMrIi4Gjievtz0AOBM4u3l6\nJbAU2Dci9hj3x04HnunnOIeFj3dN7lKDO9TkLnW4RU3uUpO71OAONblLDe5Q0zZ0ebqf44QRnsgi\nN4q7QtIy4HLgW8AnIuL9kv4DvADsBKyLiB0AJP1c0uOtjXiw+XjX5C41uENN7lKHW9TkLjW5Sw3u\nUJO71OAONQ1Mlxn9/gsriIhpwK3AH5qHPg7cTt7Gc2FEfBY4ltzEbLqksVYGOiR8vGtylxrcoSZ3\nqcMtanKXmtylBneoyV1qcIeaBq3LSO+RBRARu5FL5E6QtCoiFgB7AG8D5kla1eoAh4yPd03uUoM7\n1OQudbhFTe5Sk7vU4A41uUsN7lDTIHQZyRVZE7ydjLR7RFwGrADmS3qt3WENLR/vmtylBneoyV3q\ncIua3KUmd6nBHWpylxrcoabyXTyRBUcC84EDgeskLWp5PMPOx7smd6nBHWpylzrcoiZ3qcldanCH\nmtylBneoqXwXT2TBGHABcGnb13mOCB/vmtylBneoyV3qcIua3KUmd6nBHWpylxrcoabyXTyRBddI\nGu2NwvrLx7smd6nBHWpylzrcoiZ3qcldanCHmtylBneoqXyXkd/s3czMzMzMzMzMBsO0tgdgZmZm\nZmZmZmY2GZ7IMjMzMzMzMzOzgeCJLDMzMzMzMzMzGwieyDIzMzMzMzMzs4HgiSwzMzMzMzMzMxsI\nnsgyMzMzMzMzM7OB4IksMzMzMzMzMzMbCP8HqiM2VoEnaVUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c21d04cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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W9f2sq1+U9HuWZd0qaVrSwx6NF0CZjFgZDX2LTGtxSovLCbkAAAAAAMESxKl8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\nfjhhwsDhfioPgbT8EyHGmqa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98vLyVver6XqpVIp+/fptN4btrddw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\nJEmSJElq4jdzrVD2EaKxrgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c203047f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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TkTE83Kxt29o0PX1ZyWNSqSY99NB5evzxFu3ff1r9/e5iwE6xVEfXmu66zrCj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\nc8akYR6P5mWHz/tdTQYgaAR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vHU2qpoY5y1/NuVRt6boG5ix/lZQF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\nJCmHRSNJkiRJkiTlsGgkSZIkSZKkHP8fXU1JNaRgh/EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c22bdfe80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zH2DQoF0ZMeIzzW63uRq2VVH9Ng2B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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c2067b588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zzgAAAKViTQNUpvnQwYL6QhOnx8Mekie3cD4JEHNVM4C0U9JXjTFHJf0HSX9o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\nY9wualsl/WkwQwJQL8I6NsZ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LP2RxfT0nDNm83W1+vvQDhlZWctDA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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c207461d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ABuMarketDrawing.plot_candle_from_order(abu_result_tuple.orders_pd)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来使用较小的止盈位置则策略定性为均值回复策略，认为短线上涨为长线下跌的回复，买入后的期望是可以短时间内继续保持涨趋势，如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:8\n",
      "买入后尚未卖出的交易数量:3\n",
      "胜率:62.5000%\n",
      "平均获利期望:9.1750%\n",
      "平均亏损期望:-6.1619%\n",
      "盈亏比:2.5277\n",
      "所有交易收益比例和:0.2739 \n",
      "所有交易总盈亏和:104211.5100 \n"
     ]
    }
   ],
   "source": [
    "# 买入策略不变，卖出策略：利润保护止盈策略+风险下跌止损+较小的止盈位\n",
    "sell_factors = [{'stop_loss_n': 0.5, 'stop_win_n': 0.5,\n",
    "                 'class': AbuFactorAtrNStop},\n",
    "                {'class': AbuFactorPreAtrNStop, 'pre_atr_n': 1.5},\n",
    "                {'class': AbuFactorCloseAtrNStop, 'close_atr_n': 1.5}]\n",
    "abu_result_tuple, metrics = run_loo_back(us_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面使用相同的策略回测A股市场与港股市场，如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:11\n",
      "买入后尚未卖出的交易数量:0\n",
      "胜率:54.5455%\n",
      "平均获利期望:9.3828%\n",
      "平均亏损期望:-6.2030%\n",
      "盈亏比:1.5549\n",
      "所有交易收益比例和:0.2528 \n",
      "所有交易总盈亏和:52113.5000 \n"
     ]
    }
   ],
   "source": [
    "abu_result_tuple, metrics = run_loo_back(cn_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:8\n",
      "买入后尚未卖出的交易数量:0\n",
      "胜率:75.0000%\n",
      "平均获利期望:4.5124%\n",
      "平均亏损期望:-2.9826%\n",
      "盈亏比:4.0991\n",
      "所有交易收益比例和:0.2111 \n",
      "所有交易总盈亏和:102425.0000 \n"
     ]
    }
   ],
   "source": [
    "abu_result_tuple, metrics = run_loo_back(hk_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从上面的回测结果可以发现买入信号发出的频率比‘直来直去’的海龟突破策略要少很多。\n",
    "\n",
    "因为在上面的策略中通过使用非均衡技术进一步构建概率优势，代价就是形成了一个苛刻的买入策略，但量化交易最大的长处是通过计算机强大的运算能力，在广度上占有绝对优势，通过量化交易在短时间内完成对不同市场进行择时，更可以并行更多的苛刻策略来满足资金规模需求。\n",
    "\n",
    "## 2. 长线趋势上涨与短线趋势下跌\n",
    "\n",
    "可以使用各种周期趋势组合来完成不同的买入策略，与上述策略相反的情况是长线趋势上涨，短线趋势下跌：\n",
    "\n",
    "1. 寻找长线上涨的股票，比如一个季度(4个月)整体趋势为上涨趋势\n",
    "2. 短线走势下跌的股票，比如一个月整体趋势为下跌趋势\n",
    "3. 最后使用短线向下突破作为策略最终买入信号\n",
    "\n",
    "\n",
    "abupy内置的AbuUpDownTrend策略为上述策略的代码实现, 关键策略代码如下:\n",
    "\n",
    "    def fit_day(self, today):\n",
    "        \"\"\"\n",
    "        长线周期选择目标为上升趋势的目标，短线寻找近期走势为向下趋势的目标进行买入，期望是持续之前长相的趋势\n",
    "            1. 通过past_today_kl获取长周期的金融时间序列，通过AbuTLine中的is_up_trend判断\n",
    "            长周期是否属于上涨趋势，\n",
    "            2. 今天收盘价为最近xd天内最低价格，且短线xd天的价格走势为下跌趋势\n",
    "            3. 满足1，2发出买入信号\n",
    "        :param today: 当前驱动的交易日金融时间序列数据\n",
    "        \"\"\"\n",
    "        long_kl = self.past_today_kl(today, self.past_factor * self.xd)\n",
    "        tl_long = AbuTLine(long_kl.close, 'long')\n",
    "        # 判断长周期是否属于上涨趋势\n",
    "        if tl_long.is_up_trend(up_deg_threshold=self.up_deg_threshold, show=False):\n",
    "            if today.close == self.xd_kl.close.min() and AbuTLine(\n",
    "                    self.xd_kl.close, 'short').is_down_trend(down_deg_threshold=-self.up_deg_threshold, show=False):\n",
    "                # 今天收盘价为最近xd天内最低价格，且短线xd天的价格走势为下跌趋势\n",
    "                return self.buy_tomorrow()\n",
    "\n",
    "AbuUpDownTrend的实现与AbuDownUpTrend的实现正好相反，但实际上AbuUpDownTrend的最终买入信号存在一定问题，下面先用AbuUpDownTrend做回测，如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:9\n",
      "买入后尚未卖出的交易数量:0\n",
      "胜率:55.5556%\n",
      "平均获利期望:9.9677%\n",
      "平均亏损期望:-3.9561%\n",
      "盈亏比:1.6703\n",
      "所有交易收益比例和:0.3401 \n",
      "所有交易总盈亏和:47643.9000 \n"
     ]
    }
   ],
   "source": [
    "buy_factors = [{'class': AbuUpDownTrend}]\n",
    "# 美股沙盒数据回测\n",
    "abu_result_tuple_us, metrics = run_loo_back(us_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:14\n",
      "买入后尚未卖出的交易数量:0\n",
      "胜率:71.4286%\n",
      "平均获利期望:9.7103%\n",
      "平均亏损期望:-14.0535%\n",
      "盈亏比:2.5651\n",
      "所有交易收益比例和:0.4089 \n",
      "所有交易总盈亏和:181897.5000 \n"
     ]
    }
   ],
   "source": [
    "# A股沙盒数据回测\n",
    "abu_result_tuple_cn, metrics = run_loo_back(cn_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:5\n",
      "买入后尚未卖出的交易数量:0\n",
      "胜率:80.0000%\n",
      "平均获利期望:3.0406%\n",
      "平均亏损期望:-7.9597%\n",
      "盈亏比:2.7703\n",
      "所有交易收益比例和:0.0420 \n",
      "所有交易总盈亏和:42355.0000 \n"
     ]
    }
   ],
   "source": [
    "# 港股沙盒数据回测\n",
    "abu_result_tuple_hk, metrics = run_loo_back(hk_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面三个市场的回测结果表面上看似乎还不错，因为沙盒中的symbol数量不多，在abupy中有专门针对策略验证可行性的接口模块，在之后的章节会重点讲解示例。\n",
    "\n",
    "在教程‘第15节 量化交易和搜索引擎’中强调过对交易结果进行人工分析是最常用且有效的手段，即直接可视化交易的买入卖出点及走势，发现策略的问题以及改善方法，下面可视化港股市场回测的几笔交易单如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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qiuKniqL45fGLx5OMJvnfRVFcPX7dDyTZ14yxANRUe/syvH8gz1x/Y4b3D+SF3/ry7N81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\nN4FR2cu/aXb7HGBOmo8tSZIkSZKkTZeLOY0kSZIkSZLUwxk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sKZ85ckJSvvDww3T5+0KS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\nEgyNJEmSJEmSlGBoJEmSJEmSpIT/D0uifCULvKUEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c20415fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zmQty7tzEAOiH3n84t9++evzyhRcmt99+JufOJe997/Lx60dHl+Qzn7kg73nP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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c21faf2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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arsu+q3Fy4kTT0zFuWreen+jq5r/nr86/dhF427ce573f+SabNzyPI3Gk5Akj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\nHY4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c21bbd240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ABuMarketDrawing.plot_candle_from_order(abu_result_tuple_hk.orders_pd.tail(3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可自行尝试切换abu_result_tuple_cn或者abu_result_tuple_us查看A股，美股的具体交易买卖行为，从买入点分析可以发现大多数买入点可以归结为如下图所示类型，基本上属于上升趋势线破位点：\n",
    "\n",
    "![](./image/f_trend.png)\n",
    "\n",
    "归结原因是因为最终的决策信号是通过**今天收盘价为最近xd天内最低价格**, 即一个向下突破做为买入信号，并不能说这个信号本身是不对的，只能说这个信号对于整体策略系统和之后的期望走势是不匹配的，比如策略具体的期望可以是：长线上涨中寻找短线下跌，且有反弹迹象：\n",
    "\n",
    "![](./image/g_trend.png)\n",
    "\n",
    "\n",
    "具体的策略上可以使用多种方式实现，比如最终的信号发生使用均线上扬或者黄金分割反弹迹象。\n",
    "\n",
    "abupy内置的AbuUpDownGolden策略使用黄金分割反弹迹象做为最终的信号发生，描述为：\n",
    "\n",
    "1. 寻找长线上涨的股票，比如一个季度(4个月)整体趋势为上涨趋势\n",
    "2. 短线走势下跌的股票，比如一个月整体趋势为下跌趋势\n",
    "3. 昨天收盘价在0.382下，今天收盘价格在0.382上作为策略最终买入信号\n",
    "\n",
    "关键策略代码如下，更多请阅读AbuUpDownGolden类源代码：\n",
    "\n",
    "    def fit_day(self, today):\n",
    "        \"\"\"\n",
    "        长线周期选择目标为上升趋势的目标，短线寻找近期走势为向下趋势的目标进行买入，期望是持续之前长相的趋势\n",
    "            1. 通过past_today_kl获取长周期的金融时间序列，通过AbuTLine中的is_up_trend判断\n",
    "            长周期是否属于上涨趋势，\n",
    "            2. 昨天收盘价在0.382下，今天收盘价格在0.382上，且短线xd天的价格走势为下跌趋势\n",
    "            3. 满足1，2发出买入信号\n",
    "        :param today: 当前驱动的交易日金融时间序列数据\n",
    "        \"\"\"\n",
    "        long_kl = self.past_today_kl(today, self.past_factor * self.xd)\n",
    "        tl_long = AbuTLine(long_kl.close, 'long')\n",
    "        # 判断长周期是否属于上涨趋势\n",
    "        if tl_long.is_up_trend(up_deg_threshold=self.up_deg_threshold, show=False):\n",
    "            # calc_golden计算黄金分割+关键点位值\n",
    "            golden = calc_golden(self.xd_kl, show=False)\n",
    "            if today.pre_close < golden.below382 < today.close and AbuTLine(\n",
    "                    self.xd_kl.close, 'short').is_down_trend(down_deg_threshold=-self.up_deg_threshold,\n",
    "                                                             show=False):\n",
    "                # 昨天收盘价在0.382下，今天收盘价格在0.382上，且短线xd天的价格走势为下跌趋势\n",
    "                return self.buy_tomorrow()\n",
    "\n",
    "上面策略代码中实现主要通过calc_golden计算了价格趋势的各个关键点位值，包括黄金分割带的值，如下示例计算了tsla一段时间的价格走势分割位："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qzwbg8865jqEWr5HhU90cprIkn88duRefPmw233/MsbG6hbb2GK9u7QzG/OPtWgD+8lYV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r+IpkUE3XZzp9PIjJmJZnBiOYVLJvybWrgRvceQRxu7CzcxJGWjm6NbMcuUajhjvvDEDL701Cx2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\nYyRJkiRJkjJkMkaSJEmSJClD/x9h6ZTNixUucAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c21a95f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "golden(g382=198.05534, gex382=219.62314000000001, g500=214.85500000000002, gex500=227.61500000000001, g618=231.65466000000001, gex618=237.55788000000001, above618=237.55788000000001, below618=231.65466000000001, above382=219.62314000000001, below382=198.05534, above950=278.92150000000004, above900=271.803, above800=257.56600000000003, above700=246.13199999999998, below300=186.381, below250=179.26249999999999, below200=172.14400000000001)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tl.golden.calc_golden(ABuSymbolPd.make_kl_df('usTSLA'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "备注：有很多人说不应该使用黄金分割线，认为黄金分割线没有理论支撑，实际上一直强调的类似求解方程组，如果所有的参数都是未知数，将无法解出答案，所以一定要把一些变量变成常数值，然后通过这些常数值来确定更多的变量，最终解出你所关心的解，黄金分割线值是很好的制造非均衡环境的常数阀值。\n",
    "\n",
    "下面使用AbuUpDownGolden做为买入策略进行回测，如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:3\n",
      "买入后尚未卖出的交易数量:0\n",
      "胜率:33.3333%\n",
      "平均获利期望:2.4998%\n",
      "平均亏损期望:-10.2160%\n",
      "盈亏比:0.1900\n",
      "所有交易收益比例和:-0.1793 \n",
      "所有交易总盈亏和:-55053.6400 \n"
     ]
    }
   ],
   "source": [
    "buy_factors = [{'class': AbuUpDownGolden}]\n",
    "abu_result_tuple, metrics = run_loo_back(us_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面从交易结果单子中可视化买卖点，可以看到策略达成了在长线上涨，短线下跌，且有反弹迹象的时候买入："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6oXZ94U9j0pd/q+y1kciS3vvemwIAAAiiIFdMAQAA+EJ//5IeeuhW2WMLC1v0\n1Cfu1uv1PY3o7/R6fU+//qkflG5tLzvvoYduqb9/SROpM80cMgAAQFMQTAEA0GLcrdQXjhxVZnLK\n0+3U2ycIS6r1sY/dUG/v0rLHX1WP/l4jelU9y57r7rmlj370hiRp5pXpho8x0Ao7IHacGpccp7j8\n9NSz4yw9raPVvj8N7WZnOQDAygimAABoNYWt1HO9UTnxwYbuzLXeL5NtM4Ql1brnniWdPn1txXBq\nRZ2v6Ld+99u6554qz8eK3PDUSqcUHRlW1wefkpVOlfVnojdTHa3y/enQwKMeDwwA4FcEUwAAYFWV\nv0wWl5MVqk8i2YysZEJyaM5djeHhnJ555jU98shNRSKrBE5bHOn7vij91P36vrdcVXI2UWwsT2XP\nxhGeAgDgb4Fqfg4AABpr5pVpHRp4tFh9IkmdJ8cV+coXmjaGidSZlq6+uOeeJX3mM9d18eIW/dF/\nntO3TnxNV9WlLl3V6568V7/b+7DUc1GS9NL8Jb33zOPF147uHaOpfJ24O0+emD5e1c6TAACgMaiY\nAgAALSUovZb6+5f07468rC/pPfpLvUtf0ns0+q/tYiiFxtrozpONRK82AECYEUwBAICGqeUX7srd\n54K8G53bKFrHjikzOaXcXf1eDyk4Spabyql+CaQXX29BWG5IuAYAqBXBFAAAaJhafuF2K6LcXdMu\nXDonJ3d7F7VA9VoqNIrWgw/KiQ8q1vsmTR6e0uThKR0ZOqq7dhJU1cpdbtp5clxWuvrm5kGpyGu2\nIIRrAABv0GMKAIAWdWso2Nuvu7umSfneSpLKjgPVa+mxx6TLV4vLyyQVlpjxb4gAACDY+GkHAIAW\ntXiodRuArySQFVFoutWW4rnLJheOHJUTo9k5AAB+QTAFAAB8wa2QOjkzrvRc9Uuvgmpod7Ar4hpl\n1aV4hWWTud6oZHnb7BwAANxGMAUAAHwp1j1Q7LUU6w5fhcuhgWBVxPkdFXsAAHiDYAoAANRfyY5o\nVjKxoV3RXG6/pXyvpeUVLm6QkJxNtFyQ4KsdzApz1XFqvOa58lrp10KtwVJTK/a+9KXGXh8AgBZC\n83MAALAuJ+coPZcq/tK/3kKojhcvKfrQ45KkzpPjykxO5XefW4NbIXVi+viKFVLu8+cvnlWse6Cs\nOfrk4amWaobeNjPtmx5h7u51rst/9zUld1s6f/Gs9vcfVKx7YMVg0E9KvxakfHP8e1c51xebBnzj\nG9IDD+YCcWM3AAAgAElEQVRDwXRKkWwmHwi20BLD9okzxa9hN4QGAKAWBFMAAGBdlTvkrfZL/2as\nVyHlPt9KAdQyJUGElUzkm3D7LIx44doljZx+vHjcaqHfevwSCErloeDC6Ni64a2f+ClcBQC0NoIp\nAACAJikNIqqtJAuFQmAnqaawzq2mk1SsuHO6pMzklLaeP+vbXfjcnQI7Txz37RirUWwqDwBADQim\nAADApt2zfU9xGd7o3jHddTlXt2uzO13wlQZ2tYR1bjWdpLKKOyc+6K/gzw3grlwpLt1z4oNa3HfA\nd5VzAAA0i2+CKWPMh9d63rbtjzdrLAAAYGOsLbeX4cV7BmVdSdTt2uxOh6AoDeCsH/2JYmjGkjgA\nQJj5JpiStMXrAQAAAO9RIYVm4usNAABv+SaYsm37Y16PAQAAeI8KqbW5OySev3hWT/7AEd/vmOd3\nrfz1VrpT5f7+g+rf+UYlZxNlz2/662OT/b8AAFiPb4IplzFmVNKvSNpVeGiLpCXbtvm/IAAAWNdE\n6kxLhw3rKd0hcX//wU3vmFfagHthdEy5nvr1B1tP0Oeq3iqbpVfuVJmcTRS/NqT67Ki4Uv8vK5lQ\nJJspO+/WEJVnAIDaRLwewAp+UdJB27atwp8IoRQAAK3BXRbl/gK9cORo/pfZJu44NvPKdNPuFQiF\nBty53mi+55HVvB8PmasNKpkrv1UuVfbJIqgCAFTLj8HU/7Jt+zmvBwEAADauWP2yLOzw1y/RGzWR\nOuPJfd2lWpOHp3Rk6Khi3c0L+BrJyTlKziaUvZ6Rk3O8Hk7L8Tr0KYZja6ChOwCgWr5ZymeM+fHC\nh98xxvyJpD+RdMt93rbt/8+TgQEAgNCbeWW6LkvO3EqyrefP6ub+g+tWkrlLtSSptyNa135S7RNn\nPAsPSpcjju4d0711vHYYmpkT+gAAgsQ3wZSkg4X/vlb4s6/kuSVJBFMAAKC1FSrJnPjm+v7UQ9vM\ndCADDnpWAQDQWnyzlM+27Z9w/0j6ncJ//y9Jf2Db9k96PDwAAOBzpcvDkrOJDS0Rq1yq1z6xsaV7\nGz0faHVeLycEAASHb4IplzHmVyX9euFwu6QPG2M+6t2IAACA2+vo1/Z90rd9jtzlYSdnxjVyeljp\nudSa57tBVnI2oQuXzsm5uSgrmZCVTKj9wjnJqT7YapuhiTfCJYjVdgAAb/hpKZ/rRyS9VZJs2/6u\nMeZdkr4u6aNeDgoAgDCr3Ja+dNv6hdGxpu66Vy+lfY4k6VjXw7rvoceLxwujY75Ycld3jiMrnVIk\nm5GVTOTnrsWb03vByTlKz6V0/uJZ7e8/qFj3QLEHmJf9uwAAaDW+q5hSPizrLDluV77HFAAA8ItC\nr6TFfQcCseteK9hsU293uaKVTik6MqzOk+OKjgzLSq9dWdYIbgWen3Ya3OiY3GDzgxeeWlahRwUd\nAADV82MwdVzSlDHmE8aYT0j675L+32peaIy53xhzruKxw8aYyfoPEwAABL0qpLRv1UZ6VjXCZpt6\nz7yy+bCkshdXree7FXj13mlwM/w4pnra6NwBANAsfgymPiXpDyX928KfE6oimDLGfKBwbkfJY/dJ\nOiJpS0NGCgAAAq20b9V6PataXTXNrDcabtUjDEN9MBcAAL/yYzD165J+UNJ7JD0uab+k36ridcnC\n+ZIkY8wuSb+m/M5+AADAA0HduSuI1ScNrX5znGJj+ZWayrs9yxaOHPW8X1nNSyZL3mMkm5EWbzfT\n7zg1vqFm+gAAhIkfm5+/W9IP2radkyRjzJ9Jena9F9m2/XljTKzwGkvSSUn/RtJCtTfu7d2utrbW\nLt3u6+vyegjwEPMfXsx9cARuLp98X8MuHd31VtnHbD391af19vhbJal4/P773694b3zNJVnZyM6y\n4zvu2F5+/ehORaPlx3278vPzwnO2+vpK3tuObdqxybmrdu5Lx106pvXs2LEtf49s+fuORndKJfeu\n/LyU3qN4jSoVz3/+eWmk0GjetqV7711+vTe8TXrmTnW+oafq6zfCk33Vfc1Wfp5e/2pG0ZGHi8ed\n//Jx6eHbx13v+RHp7W/Nv/+nn1b07W+te2+2es7d7Ys0dsxhFLjv81gT8x1ezH31/BhMtUnaKulG\nyfFG/4lpWNKgpP+s/NK+7zfG/LZt22tWT2Wz1zZ4G3/p6+vS5ctXvR4GPML8hxdzHxzM5cb16k51\nLO1U5sq14vH/vuuH1Ju7s/jYajKz82XHr75afn4mM6/MlvLjy7n8/Lz22o2yudr+2g1d28TcbWTu\nS8ddOqb1uGO2MvMqyduUyczLKbl35edlrfe9GnfHuktXvquXvzer9pJ7lt6v3p/HZlrv62f21Wsq\njdgymXk5vdek3jvVt2uXLmfq/3NnPeZuRb13anvHTl1rwJjDhu/z4cJ8hxdzv9xaQZ0fg6k/lHTW\nGPNfCsfvk3R6Ixewbftrkn5AkgpVVJ9dL5QCAADBUGuT8Ot371FmckqS1HnieH5J2dVg95VqFLc3\nlySN7h3TvVW+LqhLP5e57z6vRwAAgG/4LpiybftXjDH/KOlB5Xtg/Qfbtv/M42EBAACfqrknUCXL\nkhMflCTleqPVLVlyHFnpVL6nkOM0ZZlTrHtAk4endGL6uGLd3vZjqreg7/JY9NhjUov9S3poQkMA\nQNP5LpiSJNu2n5H0TA2vS0t6x3qPAQCA4Ki1QsoNeCTVHPJY6ZSihd5JC6NjxWCrkayIpXjPoHo7\nomv20KpVafA1uncscOFXs+TuWqECr8EaOXehCQ0BAE3nx135AAAAGs4NeFYKedzqEPcX/SNDRxXr\nHpCTc5ScTSh7PSMnF8xd1kqDr3jPYEPCryAo/dqYPDylu3b2l59QqMBz4oPVV+Bt0kbmrn0ieDtL\nAgBaky8rpgAAALzkVodUViclZxM19U5C8FSGQOpyml4htR63Cb2kfJh6c1HtL35HktR+4ZwWH3qE\nXfYAAJ4jmAIAAIAn6tYfzA9q6VHWYKVN6CXpWNfDuu+hx4vHzVp+CgDAWgimAAAA1tHKAYpbNeMu\nP/Q+Lrmt1v5gAAAgOAimAAAA1rFagOLEBpSZnNLW82d9sXRrJaVVM7UuP0zOJiTll4NVY9nOgVdS\nNdwVAACEAcEUAABArUoaXAfNZqrEKntzuQGeX3ovNZrbPN8rrVzhBwAIH4IpAACAKi2rBPJQo8OH\n0iqxeE8+eOvtiNZ2sUKA55feS43mNs/3CkskAQCtJOL1AAAAAFpFZSWQlwgfAABAEBBMAQAAhIi7\nrG7hyFFlJqdCsbQOAAD4F8EUAAAeaZ844/UQEHAXF2/o5NwN6Qf+vbT3N/XzV67pE1e+p3T/3cr1\nRvO9sUKwtA4AAPgXwRQAAB5pm5n2eggIqBcWb+jHX/y23p6Y0YmrN6Td/0zqfZv++votfeLyd/X2\nxIyeGL5PLyze2NB1aaoNAADqjebnAAA0m+PISqcUyWYkx6FixQc2Grj4OaCZuvaaDr+YUNZxVj0n\nJ+nMG16vv019S6fvHtTw9h1VXZu+Vsv5+WvBbdYvSSemj+uunf0ejwgAgOUIpgAAaDIrnVJ0ZFiS\ntDA6ll9OBU9tNHDxa0DzwuKNdUOpUlnH0eEXE3pm4M26p31b3cfj59CmXvz6tSDdbtYvSfv2HJDe\n+CZlJvNBVeeJ4/QXAwD4Akv5AADwOSfnKDmb0Klnx5WcTcjJVRc6IHw+8vLFlUOpW/PS3HPauWX5\nU1nH0UdfvtSQ8fg5tGmmW0PeB3SHBh6VLEtOfFBOfFCL+w5QrQkA8AUqpgAA8Ln0XEojp4eLx5OH\np4pVEIDrxcUb+vLVV8se69yyRe+/Y5t+47+9W1q6qT973z/oa0u9+vDLF7WwtFQ878tXZ3Vx8Yb6\nG1A1BWnxkP8COj+OCQAQTlRMAQAABMDnZq9oqeKxj7+hX+/Z0S4t3ZQktW/ZoiejffrYG8p7DeUK\nrwcAAGg2gikAAIAAePb6tbLjOyKWnujZteK57+vZpe5I+TKu6YrXAwAANAPBFAAAQAC8lsuVHb9p\nW4e2RSLFndmODB1VrDvf7HpbJKLBbR1rvh4AAKAZCKYAAPC50mBh8vBUMVwASu2IlP9Yl7hxXTdy\nueLObL0dUVmFKqkbuZwSN66v+XoAAIBm4CcQAAB8rjRYiPcMFsMFoNRbOraXHc/lHH12lb5R/2X2\niuYqdnfcW/H6RvDD7nQAAMBfCKYAAAAC4ImeXdpS8diHX76o389c1o3CMr0buZx+P3NZH3n5Ytl5\nEUnvXaUfVT2xExwAAKjU5vUAAAAAsHn97dv0UNcdeubqq8XHFpaW9IHvvqhf/t5L2tFxv8bt6WWV\nUpL0UFeP+tu3NXO4AAAAkqiYAgAACIyPvaFfvdbypZ5zOUfftXpWDKV6LUsffcOeZgwPAABgGYIp\nAACAgLinfZtO3z24Yji1kqhl6fTdg7qHaikAAOARgikAAIAAGd6+Q88MvFmPdPWs+oNeRNIjXT36\n84E3a3j7jmYODwAAoAw9pgAAAALmnvZt+szdcV1cvKHPzV7R9PVr+uZsSt/fM6C9Hdv1RM9u7Wlv\n93qYAAAABFMAAABB1d++TU+97n+TJP3Gy/9VH7j73R6PCAAAoBxL+QAAAEJgaPder4cAAACwDMEU\nAMB3JlJnvB5CXbRPBON9IBgODTzq9RAAAACWCVQwZYy53xhzrvDxfcaYC8aYc8aYLxtjXu/x8AAA\nVZp5ZdrrIdRF20ww3gcAAADQKIEJpowxH5B0QlJH4aFPSXq/bdsHJH1B0s97NDQAAOqCpVgAAAAI\nmsAEU5KSkh4vOX7Ctu1vFD5uk3S9+UMCAOC2zS5RZCkWAAAAgiYwu/LZtv15Y0ys5Pi7kmSM+SFJ\nxyS9c71r9PZuV1ub1bAxNkNfX5fXQ4CHmP/wCtrc79ixLRjvacc27Sh5Hy88Z6uv731SdmfxsWh0\np1RyTiDeN2rC3IcL8x1ezH24MN/hxdxXLzDB1EqMMe+V9IuSfti27cvrnZ/NXmv8oBqor69Lly9f\n9XoY8AjzH15BnPvXXrsRiPe0/bUbulbyPtz3ZWXmFS08lsnMyymcE8S5RHWY+3BhvsOLuQ8X5ju8\nmPvl1grqAhtMGWN+TNKYpAO2bWe8Hg8AAAAAAADKBanHVJExxpL0O5K6JH2hsDPfxzweFgBgHU7O\nUXI2oez1jJKzCTk5p+ZrtU9srp9TPZW+r828JwAAACBoAlUxZdt2WtI7CofRNU4FAPhQei6lkdPD\nkqSTM+OaPDyleM9gTddqm5nW4iF/NAsvfV+je8d0r8fjAQAAAPwiUMEUAACecxxZ6ZQkKZLNSM7y\nCiknNqDM5JS2nj8rJzbQ7BECAAAAvkEwBQBAHVnplKIjw8XjhdExaVflSZac+KCceG3VYAAAAEBQ\nBLLHFAAg3KxkIl+t5BOx7gFNHp7SkaGjinVTIQUAAAC4qJgCAASak3OUnssvrYt1D8iKWE0fgxWx\nFO8ZVG9H1JP7AwAAAH5FMAUA8E6hH9PW82d1c/9BqSdXn8vGB7W474Ck8sbjKzVT90NwBQAAAIQV\nS/kAAJ5x+zF1ffApRUeGFXnpYt2uveqOfI4jK5lQx6lxyXGKwdXI6eFiQFWt9okzZccTqTOrnJk3\ntHvvhq4PAAAABB3BFADAN+7ZvqfYi2ny8FRD+jGVhmHu7nm1apuZLjueeWV6lTPzDg2sEpYBAAAA\nIcVSPgCAb1hbbvdiqlxyBwAAACB4qJgCAISKExtQZnJKC0eOyomxQx4AAADgJSqmAADhYlly4oPK\n9UYlq4ZG54WG7ZIUyWYkx6ntOgAAAAAIpgAAwRbrHtDk4SmdmD5el55Vbo8q1/yRUSV354Op7PWM\nnFx9dhYEAAAAwoBgCgDgO/Xcvc6K3O5bZUXqX9n0wrVLGjn9ePH4WNfD6qv7XQAAAIBgIpgCAPiO\nn3evc3tUSVLniePK3dXv8YgAAACA1kUwBQAIhbpVYRV6VEkq9KliHxEAAACgVvw0DQA+0z5xxush\nBFJlFdatoXxQ5fagOjJ0tC49qK7fvUeZySl2/gMAAACqQMUUAPhM28y0Fg/5dylbULif4830oLo1\ntLcYbEnKN1jvHZSzK3+dmnf+AwAAAEKCYAoAgBotHnpUlqR4T35pX2W45VZlAQAAAFgZS/kAYCWO\nIyuZUMepcclxPB0KS/taR2UfKyrfAAAAgLURTAGAtCyIstIpRUeG1fXBp2SlU54OrW1m2tP7o3p+\n3k0QAAAA8COW8gGAVAyiJOnm/oNyYgPKTE6p88Txhjevbp84o8WHHikGYJFsJl+lRW+ipqrbrn0A\nAAAAqkYwBQArsSw58cGmNK9um5mWY0wxGJOkhdExObEBWelUsIKqQjXa1vNndf3JI16PpgzVTgAA\nAEDzEUwBgE+VVnEtjI7JiQ96PKLNq6xMAwAAABBu9JgCgFbho4bsAAAAAFAPBFMAWp6Tc5ScTejU\ns+NKzibk5BoX2tRth7xCyGQlE4Wlerl1X1JrQ/aJ1ObHXO37Lp2LaubB7eW1cOSoMpNTDe/nBQAA\nAMBfCKYAtJ6KyqH0XEojp4f1wQtPaeT0sNJzjdtFr1475LkhU3RkWJ0nxxV56eKyc0pDm1oCGzck\nunDp3KbDumrfd+lcpOdS6wdVhV5ei/sO5JcqBqGPFgAAAICq0WMKQMtZ1qdoV+PudWvIw53aNtmA\n3Q2JJGl075jiPRvsUVVoVC5Vv1NgrHtAk4endGL6uGLdA2Vj2N9/UPeu8rrFQzQeBwAAAMKIYAoA\n1lAMTAohTaN2yMvdtUeZySlJUueJ475Y0lYaAErVNWC3IpbiPYPq7YjKilD9BAAAAGBtBFMAoNvL\n5lYLhRq+Q16hOkpSzRVSflRZQeV0ac3PMwAAAIBwIZgCAGnTy+awspUqqNyeUnyeAQAAAAQqmDLG\n3C/p123bPmCMeZOk35e0JGlG0s/Ytr3+tlcAWk5pVc7o3jHFuoNVieNpn6saDe3eu+YxPaUAAAAA\nSAHalc8Y8wFJJyR1FB76LUkfsm17n6Qtkv6FV2MD0FhuVc6+PQcU7xncVG+j1UKgze6QtxluiFOv\nMbRPnKnqHPd+tdzz0MCjax4DAAAAgBSgYEpSUtLjJcfDks4XPv5zSe9q+ogANFU9wo9VK3kqlvo5\nOUfJ2YROPTsuJ+ds+r5V2exyQ8eRlUyo/cI5WclEvon7Cs+750j5ZXcscQQAAADQKIFZymfb9ueN\nMbGSh7bYtr1U+PiqpDvWu0Zv73a1tbX2L159fV1eDwEeCs38Z3cWP4xGd0rNfN87tmlHX5eev/K8\nRk7nm6G/560/ont33bux65S8B6nifRTusaoH7l/2/Epzn42Uf576rvwvqdDAvfPkuJxvfVPJPktf\nSX1F7xp4l+JXHFklu/B1fuDnpHvvXfWeaIzQ/D3GMsx9uDDf4cXchwvzHV7MffUCE0ytoLSfVJek\n2fVekM1ea9xomqCvr0uXL1/1ehjwSJjm38rMK1r4OJOZl9PE9739tRu6dvmqMrPzxccymXldzm1s\nDKXvwb2G+z7ce6zqgQelkudXm/vKMWYyKrvn1Ev/pPs/d7vQ9OsjX9B9q4yp8p5ojDD9PUY55j5c\nmO/wYu7DhfkOL+Z+ubWCuiAt5av0dWPMgcLHj0i64OFYAKBqXjU7v373npp7SgEAAABALYJcMfVz\nkn7XGNMu6VuS/tjj8QAIgGaERvXasa50t8JY94B0JbX2Cwo9rCTRUwoAAABAUwQqmLJtOy3pHYWP\nn5e039MBAWgId7e4zhPHPdshr1YTqTNN26HO3a2wtyMqK2KVfd4WRsd0991v1OTd+eBqdO9YPrwC\nAAAAgCYK8lI+AEFVqOxZ3HfAs6oetxrpyNDRqgIddxe/C5fOKTmbkJPLrfuauivZ1c+JD8ra2l4M\nruI9g7IiVEgBAAAAaC6CKQD+5ziykgl1nBqXHKf4cL2WvNWishppPem5lEZOD+vkzLhGTg/rpfmL\nTRhl3tDu8uWH1SxH9KrPFQAAAIBwCdRSPgDBZKVTio4MS5Ju7j9Y7IPUytxG45K09fzZhi5JrFw6\nWE2g52XoBwAAACA8CKYAwAsljcaDELQBAAAAQC1YygcATVDak2ry8BSNxgEAAABABFMAfKx94ozX\nQ6ib0p5UNBoHAAAAgDyCKQA1qQyNJlL1D5HaZqbrfk0AAAAAgH8QTAGoiRsaOTlHydmELlw6p+Rs\nQk7OWeeVVSjswhfJZsp24QuCyh3y/MCPYwIAAAAQDgRTADamJDSykgmls9/WyOlhnZwZ18jpYaXn\nUjVf2q26cnfh6zw5LiudkhMbUGZySgtHjjZ097pabDTUqdwhzw/8OCYAAAAA4UAwBWBDSkOj6Miw\nIi9drNu1Z15ZZeleYQe7XG9UsvzVm4lQBwAAAABqRzAFAAAAAAAATxBMAQAAAAAAwBMEUwDWVugp\n1XFqvGGNyN0G6tnrmfo0TwcAAAAAtIQ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mJEmSJEkqIgsWlG9w+F5HRo5s4rXXuhcNPPTQ\nbK6//loAVq9ezbhxRwJwzz13ccopX+XrX5/AddddDcCRR47l4YcfbF73wQcf2GBWT1srV66kvLyc\niooKtt56Gx599Hc8++w8Vq9exRlnfJtx444H4OKLp7Bw4cJW606c+B32229/IDcDqX///rz11pts\nt9321NbW0q9fP3bb7dP88Y8v5vd/N84557xW23jnnb/wwAP3tJoF1dKKFe+zdu0atttuOGVlZXzm\nM/vy/PPPAFBf/0OOP/54ttpqq3bXfemlFxk9el8Adt11JK+++krzPn/ve+ez5557d7DeHxk9OjeL\nap99Pstzzz3T4X69+eYbTJ9+OQAxvsoee+yVX28/nnvuGV566UVGjdqHsrIyhg0bxrp1jSxZsoQ5\ncx7m/vvv6XC77dXQEzyUT5IkSZKkIlLezSko3R3fkYcems2ZZ05i111Hcu+9v6SxsZFddtmVZcuW\n8fe/L6Subkuee24e3/rWWRus+/zzzzFx4qmUl5dTWVnJd74zierqasaOHUdVVRV33PFTLrjgXHbb\nbXfOPvt7bL31MC644KINtjNkyBAA3n77La677odcdtl0lixZyhZbbNE8prp6ECtWvA/AF75wMC+8\n8FzzbStXrmTmzCs4//xpvPXWm+3u54oVK6iuHtRie9X87W9/5aGHZjNkyBAOOOAA6utndbjuoEEf\n1lJeXk5jYyM77/xPG3toWbFiRfM+VFdXs2LF+62Wtdyvj370Y5xzzrkAZLNZysrKWt2+YsX7DB48\nZIP1Dj74UAD++McX291uezX0BIMpSZIkSZKKSFPXJktt8vjWss2XJk+ewh13/IwbbriWXXYZ2bz8\niCOOYs6cX7PNNtuy//4H0q9fvw22stdee7d7LqcXXniOQw89nCOOOJo1a9bwi1/8hGuumcGll/6g\nw4peeOE5Zsy4nAsuuIgRI3ZkzZrXWLlyRfPtK1e2DnRaevbZp1m8eDFTppzH+++/z7vvNvDTn95G\ndfVAHn00d0ji+edP44MPVrbY3kq22KKGBx98gLKyMsaPH8+CBX/mkkumcOmlP+Ciiy4AYNSo0Qwa\nNIiVKz9cN5vNUlnZeTSTW29Fi/vbotWyjvarvEXquP72QYO2aGe9mnbvq/V6G9bQEwymJEnqgzJD\na5svNyxalmIlkiSp0Oy0UxPz53ftcL7588vZeefuJVP9+/dvPpfR+nMrATzwwH2cc855VFVVcdZZ\nE5k//4/sscdeHHzwv3L22d9kyy235IwzzuzWfd111x387W9/5aijxtK/f38++tGPdTiTCXKh1NVX\nT2fGjGsZNmwbAHbc8aO8885fWLbsHwwcWM2LL/6BE04Y3+76Bx74eQ488PPN27r//rsZP/4kAI49\n9rjmcZWV/fjrX99h222345ln5jJhwql85Su5bWYyNRx33AlMmjSZoUO3pr7+pub1Hnvstzz11BN8\n4QsH8fLL8/nYx3bq0uMwcuSnmTv3KT71qV15+umn+PSn9+jSfu28c+CFF55jzz335umnf8+ee+7N\ndtttz/XXX8MJJ4xn0aJFNDVlm2eabezxWrhw4QY19ASDKUmSJEmSisiRRzZy5ZX9GTly47/KB3DP\nPf0499zV3dr+6NH7cd99d3P66V8jhE8yaFDusLaPf3wnTjnl3xkypI5MJtP8S2+1tbWMGLED7723\nmBEjdujWfU2aNJkZMy7n3nvvoqpqAEOGDGk+J9TFF0/hlFO+wbBhw5rHX331DNauXcsll0wFYMSI\nHfjud/+TiRO/w1lnfZOmpiYOP/woMpmh3aqjrXPOOY9p086nqamJUaNGs8suu3a+EvC5z/0zzz47\nj9NOO5lsNsvkyVO7tN7YseO45JKpnH761+jXrx9Tp15CZWVlu/v15ptvcPfd/80555zLxIlncuWV\nl3LjjblfCBwz5gtUVFSw22678/WvTyCbzXLWWd8DYM6ch/ngg5UcffQx7W63vRp6Qlk2m+18VIlo\naFjepx+MTKaGhoblaZehlNj/0mXvi0d3eumMqeLi67i02O/SZe9LS9r9njOngkWLyjnxxLUdjvnZ\nz/oxdGgTBx+8rhcrK35p974QZTI1ZR3d5q/ySZIkSZJUZA4+eB2ZTBPTplUxf37rP/3nzy9n2rQq\nMhlDKaXPQ/kkSZIkSSpChxyyjjFj1jF7diW/+lUl5eW5E53vvHMT5567mqqqtCuUDKYkSZIkSSpa\nVVUwblxj2mVIHTKYkiRJkiSpSK1qamL2siUsWL2K8rIymrJZdqoawJG1dQwo9+w+Sp/BlCRJkiRJ\nReiR5UuZt+J9xg7eki8N+Ujz8vkfrOTKRX9j9KAtOKRmSIoVSp78XJIkSZKkovPI8qU0NDYyZdhw\nRg6sbnXbyIHVTBk2nIbGRh5ZvjSlCqWcxGZMhRBOAk7KXx0A7A6MAa4GGoE5McZpIYRyYBbwaWA1\n8B8xxgUhhH2SGJvU/kqSJEmSVAhWNTUxb8X7TBk2fKPjTqzbimkL32HMoFqqEjisb+XKFRx33Fj+\n67/uo7r6w3DspJO+wsUXX84VV1zCpEmTWbz4XaZMOY8dd/woZWVlrF69moMPPpRx445nyZIlTJ/+\nfT744AOy2SzDhm3DmWeeQ1XVgHbvc+HChVx22UWsW5c7r9Z3vzuZESN25Mkn/5fbbvsRFRUVHH74\nURx11NjmdR5//FEeffQ3XHjhpa22dfvtt/DGGwuYNu2yDe7n5Zfnc/XV06msrGDUqH04+eRTm29b\nvHgxxxwzlquuuo4ddtix1XpNTU3MmHE5Cxa8Rr9+/Tj33AsYPnx7Jk78cP233/4/DjvsCE4//ZvN\ny5YuXcq0af/J6tWr2WqrDJMnT2XAgAE88MC93H//PVRUVPDVr36Nz372gE7r7KiGltrbbkc1bK7E\nZkzFGG+LMY6JMY4Bnge+BdwAfAXYHxgdQtgT+CIwIMa4L3AuMCO/iaTGSpIkSZJUtGYvW8LYwVt2\naewxg7dk9rIlidRRXT2Iz372AB577LfNy1599RVqa2vZfvsRrcbutdfe1NffxLXX3kh9/U3ceefP\nWb58OXfc8RNGjRrNzJn1XHXVdQwYMJD77ru7w/v80Y+u59hjv0x9/U2MHz+BG264jsbGRq69diYz\nZ9ZTX38TDzxwL4sXvwvAD384nRtvrCebbWq1nblzn+Lpp3/f4f1Mn34ZF154KbNm3cKf/vQyMb4K\nQGNjI1OmTKF///Z/8vCJJx5jzZo13HjjrZx22jepr78KgPr6m6ivv4nzzptCJjOUr371a63Wu+22\nmznooEOZNetH7Lxz4P7772bx4nf55S/v5Prrb2HmzHpuvLGeNWvWdFpnRzWs19F226uhJyR+KF8I\nYW9gF+BOoCrG+HqMMQs8AnyBXJj0MECM8Wlg7xBCbRJjk95XSZIkSZLStmD1qg0O3+vIyIHVvLZ6\nVbe2/9BDs7n++msBWL16NePGHQnAPffcxSmnfJWvf30C1113NQBHHjmWhx9+sHndBx98oNVspfas\nXLmS8vJyKioq2HrrbXj00d/x7LPzWL16FWec8W3GjTsegIsvnsLChQtbrTtx4nfYb7/9AVi3bh39\n+/fnrbfeZLvttqe2tpZ+/fqx226f5o9/fDG3/yN345xzzmu1jXfe+QsPPHBPq1lQLa1Y8T5r165h\nu+2GU1ZWxmc+sy/PP/8MAPX1P+T4449nq622anfdl156kdGj9wVg111H8uqrr7S6/ZprZnD66d9s\nNcOs7Xr77LMfzz33DK+88v8YOfLT9O/fny222ILtttue119/jeeff5Zbb725wzo7quHOO3/Gk08+\n3uF226uhJ/TGOaYmA9OAWmBZi+XLgcH55f9osXxdUmNDCJ7sXZIkSZJU1MrLyhId35GHHprNt799\nDjfeeCvbbrsdjY2N7LLLrixbtoy//30ha9as4bnn5nHggZ/fYN3nn3+OiRNP5VvfOo2LLjqf73xn\nEtXV1YwdO46DDjqEO+74KUcffRiTJ0/i3XcbALjggosYNmxYq+0MGTKEyspK3n77La677oecfPIp\nrFixgi222KJ5THX1IFaseB+AL3zh4Fbrr1y5kpkzr2DSpMlUVFS0u58rVqygunpQi+1V8/777/PQ\nQ7MZMmQIBxxwQLvrrV930KAPaykvL6exMXfY4YIFr7FixQr23vsz7a63fh/W31/bba1fvtdeo5gw\n4ZQO6+yohuOPP5H99z+ww+22V0NPSDSoCSEMAT4RY3w0P7OppsXNNcBSoLrN8nJyQVOPj40xNm6s\n3rq6aior23/i9RWZTE3ng1S07H/psvfFY1N6af+Lg30sLfa7dNn70pJWvwcs79et++7u+JqaAVRX\n9yeTqWHVqn5UVJSTydTwgx9cwY9//GNuuWUWu+++O1tttQX9+vXj+OO/zFNP/Y7hw4dz0EH/wrbb\n5g4z7N+/krq6atatq2a//fblqquu2uC+5s6dy/jxxzNhwomsWbOGm2++mRtvvIZrr722w/qefvpp\npk2bxowZ0xk5ciSvvvoqjY2rm/cxm13Ltttmmq8PGVJNVVXuMZgzZy7/+McSLrnkApYtW8aiRYu4\n9947qK6u5pFHHgHg8ssvZ82aVc3rl5evY9iwrZgz50HKysoYP348r7/+GpdfPo36+nomTZoEwH77\n7cdWW9VRWdnUvG5ZGWyzTR0At976G/7t305otxeDB9cycGA5H/lIDYsXl/GRj9SxzTZbsWDBK83j\n161bw/bbb918feDAsnbrLC9v6rAGoMPttldDTzzHk55B9DngNwAxxmUhhDUhhI8DbwCHkJtJNRw4\nEvjv/EnM5yc1trNilyxZ2ZP73usymRoaGpanXYZSYv9Ll70vHt3pZabFZfvf9/k6Li32u3TZ+9KS\nZr+3XVfO797+e5cO55v/wUq2W1ferVpXr27iL3/5Gw0Ny3nppRdZt66Jhobl3H77z5k48Ryqqqo4\n66yJPProU+yxx17st9/nOfvsb7LllltyxhlnNt/XmjWNLFmykqVLV7J69dp2a7j55lv4059eaz78\nb+uth/OnP8UO633hhee4+urpXHnl1Qwbtg0NDcsZPHhr3njjTV5//R0GDqxm7tx5fPGLxzVvo+X9\n77HHvtxyy77N27r//rsZO/YEAA455Ojm+ykrq+DFF19h222343e/e4wJE07lqKO+DOR6f9xxJ+Rn\nXQ1i5sxZzes99thvmTPnt4wadQAvvzyfHXf8eHMdTzzxFMccc0K7+/bJT+7Kr371CP/6r0fy0EP/\nwyc+sSvbbfcx5s2bwTvvvMvatWv5859fo65um1brt1dnbe1HOqwB6HC77dXQ5c+uGwmwkg6mArmw\naL3TgJ8DFeR+PW9eCOFZ4KAQwu+BMmBCwmMlSZIkSSpaR9bWceWiv3UpmLrnH+9x7tBtu7X90aP3\n47777ub0079GCJ9k0KDc4WIf//hOnHLKvzNkSB2ZTIZPfWpXAGpraxkxYgfee28xI0bs0K37mjRp\nMjNmXM69995FVdUAhgwZ0nxOqIsvnsIpp3yj1eF8V189g7Vr13LJJVMBGDFiB7773f9k4sTvcNZZ\n36SpqYnDDz+KTGZot+po65xzzmPatPNpampi1KjR7LLLrl1a73Of+2eefXYep512MtlslsmTpzbf\n9t57ixk8eEi76331q1/jkksuZPbsexk8eAhTp17KwIEDGTfueM444xSampo49dRvUFVVxfPPP8tL\nL73IhAmntFtnU9On2q3hzjt/xvDh27P//ge2u932augJZdlstkc2VAwaGpb36QfDb2BKm/0vXfa+\neHRrxtTQ2ubLDYuWbWSk+gJfx6XFfpcue19a0u73nOVLWdTYyIl17Z+EG+BnS95laGUlB9e0H4Zo\n06Td+0KUydR0eCKz3jj5uSRJkiRJ6kUH1wwhU1nJtIXvMP+D1qetmf/BSqYtfIeMoZQKgL9SJ0mS\nJElSETqkZghjBtUye9kSfrVsCeVlZTRls+xcNYBzh25LVblzVZQ+gylJkiRJkopUVXk544Z8JO0y\npA4Zj0qSJEmSJCkVBlOSJEmSJElKhcGUJEmSJEmSUmEwJUmSJEmSpFQYTEmSJEmSJCkVBlOSJEmS\nJElKhcGUJEmSJEmSUmEwJUmSJEmSpFQYTEmSJEmSJCkVBlOSJEmSJElKhcGUJEmSJEmSUmEwJUmS\nJEmSpFQYTEmSJEmSJCkVBlOSJEmSJElKhcGUJEmSJEmSUmEwJUmSJEmSpFQYTEmSJEmSJCkVBlOS\nJEmSJElKhcGUJEmSJEmSUmEwJUmSJEmSpFQYTEmSJEmSJCkVBlOSJEmSJElKhcGUJEmSJEmSUmEw\nJUmSJEmSpFQYTEmSJEmSJCkVBlOSJEmSJElKhcGUJEmSJEmSUmEwJUmSJEmSpFRUJrnxEMJ5wFFA\nf2AW8DhwG5AFXgbOiDE2hRCmAocDjcCZMcZnQgg7JTE2yf2VJEmSJElS1yU2YyqEMAbYD/gscCCw\nPTATOD/GeABQBhwdQtgzf/to4HjguvwmkhorSZIkSZKkApDkoXyHAPOBe4HZwK+AvcjNmgL4NfAv\nwP7AnBhjNsb4NlAZQsgkOFaSJEmSJEkFIMlD+bYCdgCOAD4KPACUxxiz+duXA4OBWmBxi/XWLy9L\naGxDRwXX1VVTWVnRvb0sMJlMTdolKEX2v3TZ++KxKb20/8XBPpYW+1267H1psd+ly953XZLB1GLg\n1RjjGiCGEFaRO5xvvRpgKbAsf7nt8qaExnZoyZKVne5UIctkamhoWJ52GUqJ/S9d9r54dKeXLacA\n2/++z9dxabHfpcvelxb7Xbrs/YY2FtQleSjfk8ChIYSyEMK2wCDgt/lzTwEcBjwBPAUcEkIoDyGM\nIDer6l3gDwmNlSRJkiRJUgFIbMZUjPFXIYTPAc+QC8DOAN4Ebg4h9AdeAX4ZY1wXQngCmNtiHMDZ\nCY2VJEmSJElSASjLZrOdjyoRDQ3L+/SD4XTB0mb/S5e9Lx7dOpRvaG3z5YZFy5IqSb3E13Fpsd+l\ny96XFvtduuz9hjKZmrKObkvyUD5JkiRJkiSpQwZTkiRJkiRJSoXBlCRJkiRJklJhMCVJkiRJkqRU\nGExJkiRJkiQpFQZTkiRJkiRJSoXBlCRJkiRJklJhMCVJkiRJkqRUGExJkiRJkiQpFQZTkiRJkiRJ\nSoXBlCRJkiRJklJhMCVJkiRJkqRUGExJkiRJkiQpFQZTkiRJkiRJSoXBlCRJkiRJklJhMCVJkiRJ\nkqRUGExJkiRJkiQpFQZTkiRJkiRJSoXBlCRJkiRJklJhMCVJkiRJkqRUGExJkiRJkiQpFQZTkiRJ\nkiRJSoXBlCRJkiRJklJhMCVJkiRJkqRUGExJkiRJkiQpFQZTkiRJkiRJSoXBlCRJkiRJklJhMCVJ\nkiRJkqRUGExJkiRJkiQpFQZTkiRJkiRJSkVlkhsPIfwB+Ef+6pvAjcDVQCMwJ8Y4LYRQDswCPg2s\nBv4jxrgghLBPEmOT3F9JkiRJkiR1XWLBVAhhAECMcUyLZS8CxwJvAA+GEPYEdgQGxBj3zQdMM4Cj\ngRsSGitJkiQpIZmhtc2XGxYtS7ESSVJfkOShfJ8GqkMIc0IIvwshfA6oijG+HmPMAo8AXwD2Bx4G\niDE+DewdQqhNYmyC+ypJkiRJkqRuSjKYWglMBw4BTgNuzS9bbzkwGKjlw8P9ANblly3r6bEhhEQP\nXZQkSZIkSVLXJRnU/BlYkJ/F9OcQwj+ALVvcXgMsBarzl9crJxc01fT02Bhj48YKrqurprKyovM9\nK2CZTE3ng1S07H/psvfFY1N6af+Lg30sLaXS71LZz+7wMSkt9rt02fuuSzKYOhkYCXwjhLAtuaBo\nRQjh4+TOBXUIMA0YDhwJ/Hf+XFDzY4zLQghrenpsZwUvWbKysyEFLZOpoaFhedplKCX2v3TZ++LR\nnV5mWly2/32fr+PSUuz99v2pY8Xee7Vmv0uXvd/QxoK6JIOpW4DbQghPAllyQVUT8HOggtyv580L\nITwLHBRC+D1QBkzIr39aQmMlSZIkSZJUAMqy2WzaNRSMhoblffrBMJUtbfa/dNn74tGtGVP+6lVR\n8XVcWoq9374/dazYe6/W7HfpsvcbymRqyjq6LcmTn0uSJEmSJEkdMpiSJEmSJElSKgymJEmSJEmS\nlAqDKUmSJEmSJKXCYEqSJEmSJEmpMJiSJEmSJElSKgymJEmSJEmSlAqDKUmSJEmSJKXCYEqSJEmS\nJEmpMJiSJEmSJElSKgymJEmSJEmSlAqDKUmSJEmSJKWiMu0CJElS35QZWtt8uWHRshQrkSRJUl/l\njClJkiRJkiSlwmBKkiRJkiRJqTCYkiRJkiRJUioMpiRJkiRJkpQKgylJkiRJkiSlwmBKkiRJkiRJ\nqTCYkiRJkiRJUioMpiRJkiRJkpQKgylJkiRJkiSlwmBKkiRJkiRJqTCYkiRJkiRJUiq6HEyFEOqS\nLESSJEmSJEmlpbKzASGE3YE7geoQwr7A48CXY4wvJF2cJEmSJEmSildXZkxdA4wFFscY/wqcFlyO\nhgAAH/BJREFUDtyQaFWSJEmSJEkqel0JpqpjjK+svxJj/B+gKrmSJEmSJEmSVAq6Eky9F0L4NJAF\nCCH8G/BeolVJkiRJkiSp6HV6jilyh+7dDuwSQlgKvAacmGhVkiRJkiRJKnqdBlMxxteB/UMIg4CK\nGOOy5MuSJEmSJElSsevKr/IdAJwJ1OWvAxBj/HwX1h0KPA8cBDQCt5E7JPBl4IwYY1MIYSpweP72\nM2OMz4QQdkpibFceEEmSJEmSJPWOrpxj6jbgfmBam38bFULoB9wIfJBfNBM4P8Z4AFAGHB1C2BM4\nEBgNHA9cl/BYSZIkSZIkFYiunGPqrzHGn2zCtqcDNwDn5a/vBTyev/xr4GAgAnNijFng7RBCZQgh\nk9TYGGPDJuyHNkFmaG2r6w2LPAJUkiRJkiS11pVg6poQws+A35E7LA6AjYVVIYSTgIYY4yMhhPXB\nVFk+KAJYDgwGaoHFLVZdvzypsRsNpurqqqmsrNjYkIKXydSkXUK7CrWuYuPjXLrsffHYlF4WQv8L\noYa+zsewtJRKv0tlP7vDx6S02O/SZe+7rivB1MnAAOCAFsuywMZmUZ0MZEMI/wLsnh87tMXtNcBS\nYFn+ctvlTQmN3aglS1Z2NqSgZTI1NDQsT7sMADJtrhdKXcWskPqv3mXvi0d3etnyfTat/hdCDcXC\n13FpKfZ++97QsWLvvVqz36XL3m9oY0FdV4KpYTHGPbtzhzHGz62/HEJ4DDgN+EEIYUyM8THgMOBR\nYAFwZQhhOjAcKI8xvhtC+EMSY7uzD5IkSZIkSUpWV4KpeSGEI4BfxxjXbcZ9nQ3cHELoD7wC/DLG\nuC6E8AQwl9yJ2M9IeKwkSZIkSZIKRFk2m93ogBDC/wds3WZxNsbYt0/G1I6GhuUbfzAKXCFNF/Tk\n572vkPqv3mXvi0e3DuVr8T6b1ntsIdRQLHwdl5Zi77fvDR0r9t6rNftduuz9hjKZmrKObut0xlSM\ncZueLUeSJEmSJEnqQjAVQpjS3vIY40U9X44kSZIkSZJKRXkXxpS1+NcfOIoND+2TJEmSJEmSuqUr\nh/JNa3k9hHAxMCexiiRJkiRJklQSujJjqq0tgBE9XYgkSZIkSZJKS1fOMfUmsP7X6sqBOuAHSRYl\nSZIkSZKk4tdpMAWMaXE5CyyNMfq7r5IkSZIkSdosHQZTIYR/38htxBh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,
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c209116a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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wj+4aq+iUJSkTPo3uGtP+8X3qbqc1BYiq/L8VkvSBtrerqwrf53I/ba8AgGAw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\ndV8E8JoFACAqajYjqQzzktr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sac1JJ63O7NntPebNnt2ek05anSVLWnPDDX6a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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1fb14b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ABuMarketDrawing.plot_candle_from_order(abu_result_tuple.orders_pd.head(2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面切换到a股市场进行回测，可以看到由于策略的苛刻条件导致交易数量进一步降低："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "买入后卖出的交易数量:4\n",
      "买入后尚未卖出的交易数量:0\n",
      "胜率:75.0000%\n",
      "平均获利期望:10.7491%\n",
      "平均亏损期望:-16.4931%\n",
      "盈亏比:3.0674\n",
      "所有交易收益比例和:0.1575 \n",
      "所有交易总盈亏和:67898.0000 \n"
     ]
    }
   ],
   "source": [
    "abu_result_tuple, metrics = run_loo_back(cn_choice_symbols, only_info=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### abu量化文档目录章节\n",
    "\n",
    "1. [择时策略的开发](http://www.abuquant.com/lecture/lecture_1.html)\n",
    "2. [择时策略的优化](http://www.abuquant.com/lecture/lecture_2.html)\n",
    "3. [滑点策略与交易手续费](http://www.abuquant.com/lecture/lecture_3.html)\n",
    "4. [多支股票择时回测与仓位管理](http://www.abuquant.com/lecture/lecture_4.html)\n",
    "5. [选股策略的开发](http://www.abuquant.com/lecture/lecture_5.html)\n",
    "6. [回测结果的度量](http://www.abuquant.com/lecture/lecture_6.html)\n",
    "7. [寻找策略最优参数和评分](http://www.abuquant.com/lecture/lecture_7.html)\n",
    "8. [A股市场的回测](http://www.abuquant.com/lecture/lecture_8.html)\n",
    "9. [港股市场的回测](http://www.abuquant.com/lecture/lecture_9.html)\n",
    "10. [比特币，莱特币的回测](http://www.abuquant.com/lecture/lecture_10.html)\n",
    "11. [期货市场的回测](http://www.abuquant.com/lecture/lecture_11.html)\n",
    "12. [机器学习与比特币示例](http://www.abuquant.com/lecture/lecture_12.html)\n",
    "13. [量化技术分析应用](http://www.abuquant.com/lecture/lecture_13.html)\n",
    "14. [量化相关性分析应用](http://www.abuquant.com/lecture/lecture_14.html)\n",
    "15. [量化交易和搜索引擎](http://www.abuquant.com/lecture/lecture_15.html)\n",
    "16. [UMP主裁交易决策](http://www.abuquant.com/lecture/lecture_16.html)\n",
    "17. [UMP边裁交易决策](http://www.abuquant.com/lecture/lecture_17.html)\n",
    "18. [自定义裁判决策交易](http://www.abuquant.com/lecture/lecture_18.html)\n",
    "19. [数据源](http://www.abuquant.com/lecture/lecture_19.html)\n",
    "20. [A股全市场回测](http://www.abuquant.com/lecture/lecture_20.html)\n",
    "21. [A股UMP决策](http://www.abuquant.com/lecture/lecture_21.html)\n",
    "22. [美股全市场回测](http://www.abuquant.com/lecture/lecture_22.html)\n",
    "23. [美股UMP决策](http://www.abuquant.com/lecture/lecture_23.html)\n",
    "\n",
    "abu量化系统文档教程持续更新中，请关注公众号中的更新提醒。\n",
    "\n",
    "#### 《量化交易之路》目录章节及随书代码地址\n",
    "\n",
    "1. [第二章 量化语言——Python](https://github.com/bbfamily/abu/tree/master/ipython/第二章-量化语言——Python.ipynb)\n",
    "2. [第三章 量化工具——NumPy](https://github.com/bbfamily/abu/tree/master/ipython/第三章-量化工具——NumPy.ipynb)\n",
    "3. [第四章 量化工具——pandas](https://github.com/bbfamily/abu/tree/master/ipython/第四章-量化工具——pandas.ipynb)\n",
    "4. [第五章 量化工具——可视化](https://github.com/bbfamily/abu/tree/master/ipython/第五章-量化工具——可视化.ipynb)\n",
    "5. [第六章 量化工具——数学：你一生的追求到底能带来多少幸福](https://github.com/bbfamily/abu/tree/master/ipython/第六章-量化工具——数学.ipynb)\n",
    "6. [第七章 量化系统——入门：三只小猪股票投资的故事](https://github.com/bbfamily/abu/tree/master/ipython/第七章-量化系统——入门.ipynb)\n",
    "7. [第八章 量化系统——开发](https://github.com/bbfamily/abu/tree/master/ipython/第八章-量化系统——开发.ipynb)\n",
    "8. [第九章 量化系统——度量与优化](https://github.com/bbfamily/abu/tree/master/ipython/第九章-量化系统——度量与优化.ipynb)\n",
    "9. [第十章 量化系统——机器学习•猪老三](https://github.com/bbfamily/abu/tree/master/ipython/第十章-量化系统——机器学习•猪老三.ipynb)\n",
    "10. [第十一章 量化系统——机器学习•ABU](https://github.com/bbfamily/abu/tree/master/ipython/第十一章-量化系统——机器学习•ABU.ipynb)\n",
    "11. [附录A 量化环境部署](https://github.com/bbfamily/abu/tree/master/ipython/附录A-量化环境部署.ipynb)\n",
    "12. [附录B 量化相关性分析](https://github.com/bbfamily/abu/tree/master/ipython/附录B-量化相关性分析.ipynb)\n",
    "13. [附录C 量化统计分析及指标应用](https://github.com/bbfamily/abu/tree/master/ipython/附录C-量化统计分析及指标应用.ipynb)\n",
    "\n",
    "[更多阿布量化量化技术文章](http://www.abuquant.com/article)\n",
    "\n",
    "\n",
    "更多关于量化交易相关请阅读[《量化交易之路》](http://www.abuquant.com/books/quantify-trading-road.html)\n",
    "\n",
    "更多关于量化交易与机器学习相关请阅读[《机器学习之路》](http://www.abuquant.com/books/machine-learning-road.html)\n",
    "\n",
    "更多关于abu量化系统请关注微信公众号: abu_quant\n",
    "\n",
    "![](./image/qrcode.jpg)"
   ]
  }
 ],
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